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Finding the Third Proportional to 248,730 and 532,920

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Solution

The third proportional to 248,730 and 532,920 is: 1,141,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,730 : 532,920 = 532,920 : x
  2. Step 2: Convert to fraction form
    248,730/532,920 = 532,920/x
  3. Step 3: Cross multiply
    248,730x = 532,920 × 532,920
  4. Step 4: Simplify right side
    248,730x = 284,003,726,400
  5. Step 5: Solve for x
    x = 284,003,726,400/248,730
  6. Step 6: Final answer
    x = 1,141,815.33

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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.