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Finding the Third Proportional to 464,960 and 718,470

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Solution

The third proportional to 464,960 and 718,470 is: 1,110,201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,960 : 718,470 = 718,470 : x
  2. Step 2: Convert to fraction form
    464,960/718,470 = 718,470/x
  3. Step 3: Cross multiply
    464,960x = 718,470 × 718,470
  4. Step 4: Simplify right side
    464,960x = 516,199,140,900
  5. Step 5: Solve for x
    x = 516,199,140,900/464,960
  6. Step 6: Final answer
    x = 1,110,201.18

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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.