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Finding the Third Proportional to 597,034 and 924,399

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Solution

The third proportional to 597,034 and 924,399 is: 1,431,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,034 : 924,399 = 924,399 : x
  2. Step 2: Convert to fraction form
    597,034/924,399 = 924,399/x
  3. Step 3: Cross multiply
    597,034x = 924,399 × 924,399
  4. Step 4: Simplify right side
    597,034x = 854,513,511,201
  5. Step 5: Solve for x
    x = 854,513,511,201/597,034
  6. Step 6: Final answer
    x = 1,431,264.40

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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.