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Finding the Third Proportional to 353,136.38 and 772,291.13

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Solution

The third proportional to 353,136.38 and 772,291.13 is: 1,688,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,136.38 : 772,291.13 = 772,291.13 : x
  2. Step 2: Convert to fraction form
    353,136.38/772,291.13 = 772,291.13/x
  3. Step 3: Cross multiply
    353,136.38x = 772,291.13 × 772,291.13
  4. Step 4: Simplify right side
    353,136.38x = 596,433,581,753.77
  5. Step 5: Solve for x
    x = 596,433,581,753.77/353,136.38
  6. Step 6: Final answer
    x = 1,688,961.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.