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Finding the Third Proportional to 366,918 and 583,730

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Solution

The third proportional to 366,918 and 583,730 is: 928,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,918 : 583,730 = 583,730 : x
  2. Step 2: Convert to fraction form
    366,918/583,730 = 583,730/x
  3. Step 3: Cross multiply
    366,918x = 583,730 × 583,730
  4. Step 4: Simplify right side
    366,918x = 340,740,712,900
  5. Step 5: Solve for x
    x = 340,740,712,900/366,918
  6. Step 6: Final answer
    x = 928,656.30

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