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Finding the Third Proportional to 238,712 and 502,000

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Solution

The third proportional to 238,712 and 502,000 is: 1,055,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,712 : 502,000 = 502,000 : x
  2. Step 2: Convert to fraction form
    238,712/502,000 = 502,000/x
  3. Step 3: Cross multiply
    238,712x = 502,000 × 502,000
  4. Step 4: Simplify right side
    238,712x = 252,004,000,000
  5. Step 5: Solve for x
    x = 252,004,000,000/238,712
  6. Step 6: Final answer
    x = 1,055,682.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.