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Finding the Third Proportional to 314,081 and 687,975

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Solution

The third proportional to 314,081 and 687,975 is: 1,506,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,081 : 687,975 = 687,975 : x
  2. Step 2: Convert to fraction form
    314,081/687,975 = 687,975/x
  3. Step 3: Cross multiply
    314,081x = 687,975 × 687,975
  4. Step 4: Simplify right side
    314,081x = 473,309,600,625
  5. Step 5: Solve for x
    x = 473,309,600,625/314,081
  6. Step 6: Final answer
    x = 1,506,966.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.