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Finding the Third Proportional to 241,484 and 527,842

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Solution

The third proportional to 241,484 and 527,842 is: 1,153,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,484 : 527,842 = 527,842 : x
  2. Step 2: Convert to fraction form
    241,484/527,842 = 527,842/x
  3. Step 3: Cross multiply
    241,484x = 527,842 × 527,842
  4. Step 4: Simplify right side
    241,484x = 278,617,176,964
  5. Step 5: Solve for x
    x = 278,617,176,964/241,484
  6. Step 6: Final answer
    x = 1,153,770.75

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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.