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Finding the Third Proportional to 317,259 and 686,787

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Solution

The third proportional to 317,259 and 686,787 is: 1,486,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,259 : 686,787 = 686,787 : x
  2. Step 2: Convert to fraction form
    317,259/686,787 = 686,787/x
  3. Step 3: Cross multiply
    317,259x = 686,787 × 686,787
  4. Step 4: Simplify right side
    317,259x = 471,676,383,369
  5. Step 5: Solve for x
    x = 471,676,383,369/317,259
  6. Step 6: Final answer
    x = 1,486,723.41

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Why These Related Problems?

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