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Finding the Third Proportional to 353,148.50 and 766,499

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Solution

The third proportional to 353,148.50 and 766,499 is: 1,663,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,148.50 : 766,499 = 766,499 : x
  2. Step 2: Convert to fraction form
    353,148.50/766,499 = 766,499/x
  3. Step 3: Cross multiply
    353,148.50x = 766,499 × 766,499
  4. Step 4: Simplify right side
    353,148.50x = 587,520,717,001
  5. Step 5: Solve for x
    x = 587,520,717,001/353,148.50
  6. Step 6: Final answer
    x = 1,663,664.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.