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Finding the Third Proportional to 317,580 and 687,000

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Solution

The third proportional to 317,580 and 687,000 is: 1,486,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,580 : 687,000 = 687,000 : x
  2. Step 2: Convert to fraction form
    317,580/687,000 = 687,000/x
  3. Step 3: Cross multiply
    317,580x = 687,000 × 687,000
  4. Step 4: Simplify right side
    317,580x = 471,969,000,000
  5. Step 5: Solve for x
    x = 471,969,000,000/317,580
  6. Step 6: Final answer
    x = 1,486,142.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.