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Finding the Third Proportional to 248,707 and 532,871

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Solution

The third proportional to 248,707 and 532,871 is: 1,141,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,707 : 532,871 = 532,871 : x
  2. Step 2: Convert to fraction form
    248,707/532,871 = 532,871/x
  3. Step 3: Cross multiply
    248,707x = 532,871 × 532,871
  4. Step 4: Simplify right side
    248,707x = 283,951,502,641
  5. Step 5: Solve for x
    x = 283,951,502,641/248,707
  6. Step 6: Final answer
    x = 1,141,710.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.