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Finding the Third Proportional to 291,386 and 439,759

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Solution

The third proportional to 291,386 and 439,759 is: 663,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,386 : 439,759 = 439,759 : x
  2. Step 2: Convert to fraction form
    291,386/439,759 = 439,759/x
  3. Step 3: Cross multiply
    291,386x = 439,759 × 439,759
  4. Step 4: Simplify right side
    291,386x = 193,387,978,081
  5. Step 5: Solve for x
    x = 193,387,978,081/291,386
  6. Step 6: Final answer
    x = 663,683.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.