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Finding the Third Proportional to 366,930 and 583,748

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Solution

The third proportional to 366,930 and 583,748 is: 928,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,930 : 583,748 = 583,748 : x
  2. Step 2: Convert to fraction form
    366,930/583,748 = 583,748/x
  3. Step 3: Cross multiply
    366,930x = 583,748 × 583,748
  4. Step 4: Simplify right side
    366,930x = 340,761,727,504
  5. Step 5: Solve for x
    x = 340,761,727,504/366,930
  6. Step 6: Final answer
    x = 928,683.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.