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Finding the Third Proportional to 491,630 and 750,567

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Solution

The third proportional to 491,630 and 750,567 is: 1,145,883.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,630 : 750,567 = 750,567 : x
  2. Step 2: Convert to fraction form
    491,630/750,567 = 750,567/x
  3. Step 3: Cross multiply
    491,630x = 750,567 × 750,567
  4. Step 4: Simplify right side
    491,630x = 563,350,821,489
  5. Step 5: Solve for x
    x = 563,350,821,489/491,630
  6. Step 6: Final answer
    x = 1,145,883.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.