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Finding the Third Proportional to 597,294 and 924,831

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Solution

The third proportional to 597,294 and 924,831 is: 1,431,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,294 : 924,831 = 924,831 : x
  2. Step 2: Convert to fraction form
    597,294/924,831 = 924,831/x
  3. Step 3: Cross multiply
    597,294x = 924,831 × 924,831
  4. Step 4: Simplify right side
    597,294x = 855,312,378,561
  5. Step 5: Solve for x
    x = 855,312,378,561/597,294
  6. Step 6: Final answer
    x = 1,431,978.86

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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.