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Finding the Third Proportional to 596,340 and 924,399

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Solution

The third proportional to 596,340 and 924,399 is: 1,432,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,340 : 924,399 = 924,399 : x
  2. Step 2: Convert to fraction form
    596,340/924,399 = 924,399/x
  3. Step 3: Cross multiply
    596,340x = 924,399 × 924,399
  4. Step 4: Simplify right side
    596,340x = 854,513,511,201
  5. Step 5: Solve for x
    x = 854,513,511,201/596,340
  6. Step 6: Final answer
    x = 1,432,930.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.