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Finding the Third Proportional to 601,000 and 935,952

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Solution

The third proportional to 601,000 and 935,952 is: 1,457,580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,000 : 935,952 = 935,952 : x
  2. Step 2: Convert to fraction form
    601,000/935,952 = 935,952/x
  3. Step 3: Cross multiply
    601,000x = 935,952 × 935,952
  4. Step 4: Simplify right side
    601,000x = 876,006,146,304
  5. Step 5: Solve for x
    x = 876,006,146,304/601,000
  6. Step 6: Final answer
    x = 1,457,580.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.