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Finding the Third Proportional to 585,036 and 873,726.75

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Solution

The third proportional to 585,036 and 873,726.75 is: 1,304,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,036 : 873,726.75 = 873,726.75 : x
  2. Step 2: Convert to fraction form
    585,036/873,726.75 = 873,726.75/x
  3. Step 3: Cross multiply
    585,036x = 873,726.75 × 873,726.75
  4. Step 4: Simplify right side
    585,036x = 763,398,433,665.56
  5. Step 5: Solve for x
    x = 763,398,433,665.56/585,036
  6. Step 6: Final answer
    x = 1,304,874.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.