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Finding the Third Proportional to 463,897.13 and 718,292.81

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Solution

The third proportional to 463,897.13 and 718,292.81 is: 1,112,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,897.13 : 718,292.81 = 718,292.81 : x
  2. Step 2: Convert to fraction form
    463,897.13/718,292.81 = 718,292.81/x
  3. Step 3: Cross multiply
    463,897.13x = 718,292.81 × 718,292.81
  4. Step 4: Simplify right side
    463,897.13x = 515,944,564,489.16
  5. Step 5: Solve for x
    x = 515,944,564,489.16/463,897.13
  6. Step 6: Final answer
    x = 1,112,196.08

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Why These Related Problems?

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