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Finding the Third Proportional to 617,850 and 924,538

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Solution

The third proportional to 617,850 and 924,538 is: 1,383,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,850 : 924,538 = 924,538 : x
  2. Step 2: Convert to fraction form
    617,850/924,538 = 924,538/x
  3. Step 3: Cross multiply
    617,850x = 924,538 × 924,538
  4. Step 4: Simplify right side
    617,850x = 854,770,513,444
  5. Step 5: Solve for x
    x = 854,770,513,444/617,850
  6. Step 6: Final answer
    x = 1,383,459.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.