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Finding the Third Proportional to 464,901 and 718,389

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Solution

The third proportional to 464,901 and 718,389 is: 1,110,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901 : 718,389 = 718,389 : x
  2. Step 2: Convert to fraction form
    464,901/718,389 = 718,389/x
  3. Step 3: Cross multiply
    464,901x = 718,389 × 718,389
  4. Step 4: Simplify right side
    464,901x = 516,082,755,321
  5. Step 5: Solve for x
    x = 516,082,755,321/464,901
  6. Step 6: Final answer
    x = 1,110,091.73

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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.