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Finding the Third Proportional to 241,470 and 530,748

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Solution

The third proportional to 241,470 and 530,748 is: 1,166,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,470 : 530,748 = 530,748 : x
  2. Step 2: Convert to fraction form
    241,470/530,748 = 530,748/x
  3. Step 3: Cross multiply
    241,470x = 530,748 × 530,748
  4. Step 4: Simplify right side
    241,470x = 281,693,439,504
  5. Step 5: Solve for x
    x = 281,693,439,504/241,470
  6. Step 6: Final answer
    x = 1,166,577.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.