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Finding the Third Proportional to 559,872 and 754,272

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Solution

The third proportional to 559,872 and 754,272 is: 1,016,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872 : 754,272 = 754,272 : x
  2. Step 2: Convert to fraction form
    559,872/754,272 = 754,272/x
  3. Step 3: Cross multiply
    559,872x = 754,272 × 754,272
  4. Step 4: Simplify right side
    559,872x = 568,926,249,984
  5. Step 5: Solve for x
    x = 568,926,249,984/559,872
  6. Step 6: Final answer
    x = 1,016,172

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.