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Finding the Third Proportional to 250,031 and 539,428

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Solution

The third proportional to 250,031 and 539,428 is: 1,163,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,031 : 539,428 = 539,428 : x
  2. Step 2: Convert to fraction form
    250,031/539,428 = 539,428/x
  3. Step 3: Cross multiply
    250,031x = 539,428 × 539,428
  4. Step 4: Simplify right side
    250,031x = 290,982,567,184
  5. Step 5: Solve for x
    x = 290,982,567,184/250,031
  6. Step 6: Final answer
    x = 1,163,785.96

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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.