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Finding the Third Proportional to 342,352 and 500,850

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Solution

The third proportional to 342,352 and 500,850 is: 732,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,352 : 500,850 = 500,850 : x
  2. Step 2: Convert to fraction form
    342,352/500,850 = 500,850/x
  3. Step 3: Cross multiply
    342,352x = 500,850 × 500,850
  4. Step 4: Simplify right side
    342,352x = 250,850,722,500
  5. Step 5: Solve for x
    x = 250,850,722,500/342,352
  6. Step 6: Final answer
    x = 732,727.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.