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Finding the Third Proportional to 438,318 and 655,714

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Solution

The third proportional to 438,318 and 655,714 is: 980,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,318 : 655,714 = 655,714 : x
  2. Step 2: Convert to fraction form
    438,318/655,714 = 655,714/x
  3. Step 3: Cross multiply
    438,318x = 655,714 × 655,714
  4. Step 4: Simplify right side
    438,318x = 429,960,849,796
  5. Step 5: Solve for x
    x = 429,960,849,796/438,318
  6. Step 6: Final answer
    x = 980,933.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.