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Finding the Third Proportional to 248,748 and 532,952

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Solution

The third proportional to 248,748 and 532,952 is: 1,141,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,748 : 532,952 = 532,952 : x
  2. Step 2: Convert to fraction form
    248,748/532,952 = 532,952/x
  3. Step 3: Cross multiply
    248,748x = 532,952 × 532,952
  4. Step 4: Simplify right side
    248,748x = 284,037,834,304
  5. Step 5: Solve for x
    x = 284,037,834,304/248,748
  6. Step 6: Final answer
    x = 1,141,869.82

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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.