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Finding the Third Proportional to 354,340.13 and 767,728.13

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Solution

The third proportional to 354,340.13 and 767,728.13 is: 1,663,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,340.13 : 767,728.13 = 767,728.13 : x
  2. Step 2: Convert to fraction form
    354,340.13/767,728.13 = 767,728.13/x
  3. Step 3: Cross multiply
    354,340.13x = 767,728.13 × 767,728.13
  4. Step 4: Simplify right side
    354,340.13x = 589,406,473,916.02
  5. Step 5: Solve for x
    x = 589,406,473,916.02/354,340.13
  6. Step 6: Final answer
    x = 1,663,391.84

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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.