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Finding the Third Proportional to 652,948.50 and 924,747.75

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Solution

The third proportional to 652,948.50 and 924,747.75 is: 1,309,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,948.50 : 924,747.75 = 924,747.75 : x
  2. Step 2: Convert to fraction form
    652,948.50/924,747.75 = 924,747.75/x
  3. Step 3: Cross multiply
    652,948.50x = 924,747.75 × 924,747.75
  4. Step 4: Simplify right side
    652,948.50x = 855,158,401,130.06
  5. Step 5: Solve for x
    x = 855,158,401,130.06/652,948.50
  6. Step 6: Final answer
    x = 1,309,687.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.