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Finding the Third Proportional to 587,503 and 792,681

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Solution

The third proportional to 587,503 and 792,681 is: 1,069,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,503 : 792,681 = 792,681 : x
  2. Step 2: Convert to fraction form
    587,503/792,681 = 792,681/x
  3. Step 3: Cross multiply
    587,503x = 792,681 × 792,681
  4. Step 4: Simplify right side
    587,503x = 628,343,167,761
  5. Step 5: Solve for x
    x = 628,343,167,761/587,503
  6. Step 6: Final answer
    x = 1,069,514.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.