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Finding the Third Proportional to 608,032 and 935,952

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Solution

The third proportional to 608,032 and 935,952 is: 1,440,723.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,032 : 935,952 = 935,952 : x
  2. Step 2: Convert to fraction form
    608,032/935,952 = 935,952/x
  3. Step 3: Cross multiply
    608,032x = 935,952 × 935,952
  4. Step 4: Simplify right side
    608,032x = 876,006,146,304
  5. Step 5: Solve for x
    x = 876,006,146,304/608,032
  6. Step 6: Final answer
    x = 1,440,723.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.