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Finding the Third Proportional to 471,973.50 and 708,007.50

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Solution

The third proportional to 471,973.50 and 708,007.50 is: 1,062,082.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,973.50 : 708,007.50 = 708,007.50 : x
  2. Step 2: Convert to fraction form
    471,973.50/708,007.50 = 708,007.50/x
  3. Step 3: Cross multiply
    471,973.50x = 708,007.50 × 708,007.50
  4. Step 4: Simplify right side
    471,973.50x = 501,274,620,056.25
  5. Step 5: Solve for x
    x = 501,274,620,056.25/471,973.50
  6. Step 6: Final answer
    x = 1,062,082.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.