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Finding the Third Proportional to 366,716 and 583,486

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Solution

The third proportional to 366,716 and 583,486 is: 928,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,716 : 583,486 = 583,486 : x
  2. Step 2: Convert to fraction form
    366,716/583,486 = 583,486/x
  3. Step 3: Cross multiply
    366,716x = 583,486 × 583,486
  4. Step 4: Simplify right side
    366,716x = 340,455,912,196
  5. Step 5: Solve for x
    x = 340,455,912,196/366,716
  6. Step 6: Final answer
    x = 928,391.21

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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.