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Finding the Third Proportional to 463,901 and 718,301

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Solution

The third proportional to 463,901 and 718,301 is: 1,112,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,901 : 718,301 = 718,301 : x
  2. Step 2: Convert to fraction form
    463,901/718,301 = 718,301/x
  3. Step 3: Cross multiply
    463,901x = 718,301 × 718,301
  4. Step 4: Simplify right side
    463,901x = 515,956,326,601
  5. Step 5: Solve for x
    x = 515,956,326,601/463,901
  6. Step 6: Final answer
    x = 1,112,212.15

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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.