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Finding the Third Proportional to 241,882 and 529,792

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Solution

The third proportional to 241,882 and 529,792 is: 1,160,398.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,882 : 529,792 = 529,792 : x
  2. Step 2: Convert to fraction form
    241,882/529,792 = 529,792/x
  3. Step 3: Cross multiply
    241,882x = 529,792 × 529,792
  4. Step 4: Simplify right side
    241,882x = 280,679,563,264
  5. Step 5: Solve for x
    x = 280,679,563,264/241,882
  6. Step 6: Final answer
    x = 1,160,398.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.