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Finding the Third Proportional to 677,523 and 997,566

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Solution

The third proportional to 677,523 and 997,566 is: 1,468,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,523 : 997,566 = 997,566 : x
  2. Step 2: Convert to fraction form
    677,523/997,566 = 997,566/x
  3. Step 3: Cross multiply
    677,523x = 997,566 × 997,566
  4. Step 4: Simplify right side
    677,523x = 995,137,924,356
  5. Step 5: Solve for x
    x = 995,137,924,356/677,523
  6. Step 6: Final answer
    x = 1,468,788.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.