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Finding the Third Proportional to 506,220 and 751,548

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Solution

The third proportional to 506,220 and 751,548 is: 1,115,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,220 : 751,548 = 751,548 : x
  2. Step 2: Convert to fraction form
    506,220/751,548 = 751,548/x
  3. Step 3: Cross multiply
    506,220x = 751,548 × 751,548
  4. Step 4: Simplify right side
    506,220x = 564,824,396,304
  5. Step 5: Solve for x
    x = 564,824,396,304/506,220
  6. Step 6: Final answer
    x = 1,115,768.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.