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Finding the Third Proportional to 323,482,453.50 and 708,539,740.50

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Solution

The third proportional to 323,482,453.50 and 708,539,740.50 is: 1,551,949,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,482,453.50 : 708,539,740.50 = 708,539,740.50 : x
  2. Step 2: Convert to fraction form
    323,482,453.50/708,539,740.50 = 708,539,740.50/x
  3. Step 3: Cross multiply
    323,482,453.50x = 708,539,740.50 × 708,539,740.50
  4. Step 4: Simplify right side
    323,482,453.50x = 502,028,563,867,807,360
  5. Step 5: Solve for x
    x = 502,028,563,867,807,360/323,482,453.50
  6. Step 6: Final answer
    x = 1,551,949,907.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.