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Finding the Third Proportional to 295,374.50 and 647,934.50

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Solution

The third proportional to 295,374.50 and 647,934.50 is: 1,421,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,374.50 : 647,934.50 = 647,934.50 : x
  2. Step 2: Convert to fraction form
    295,374.50/647,934.50 = 647,934.50/x
  3. Step 3: Cross multiply
    295,374.50x = 647,934.50 × 647,934.50
  4. Step 4: Simplify right side
    295,374.50x = 419,819,116,290.25
  5. Step 5: Solve for x
    x = 419,819,116,290.25/295,374.50
  6. Step 6: Final answer
    x = 1,421,311.31

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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.