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Finding the Third Proportional to 464,956 and 718,464

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Solution

The third proportional to 464,956 and 718,464 is: 1,110,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,956 : 718,464 = 718,464 : x
  2. Step 2: Convert to fraction form
    464,956/718,464 = 718,464/x
  3. Step 3: Cross multiply
    464,956x = 718,464 × 718,464
  4. Step 4: Simplify right side
    464,956x = 516,190,519,296
  5. Step 5: Solve for x
    x = 516,190,519,296/464,956
  6. Step 6: Final answer
    x = 1,110,192.19

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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.