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Finding the Third Proportional to 464,869.13 and 718,323.19

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Solution

The third proportional to 464,869.13 and 718,323.19 is: 1,109,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,869.13 : 718,323.19 = 718,323.19 : x
  2. Step 2: Convert to fraction form
    464,869.13/718,323.19 = 718,323.19/x
  3. Step 3: Cross multiply
    464,869.13x = 718,323.19 × 718,323.19
  4. Step 4: Simplify right side
    464,869.13x = 515,988,201,700.16
  5. Step 5: Solve for x
    x = 515,988,201,700.16/464,869.13
  6. Step 6: Final answer
    x = 1,109,964.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.