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Finding the Third Proportional to 464,953.50 and 718,146.75

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Solution

The third proportional to 464,953.50 and 718,146.75 is: 1,109,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,953.50 : 718,146.75 = 718,146.75 : x
  2. Step 2: Convert to fraction form
    464,953.50/718,146.75 = 718,146.75/x
  3. Step 3: Cross multiply
    464,953.50x = 718,146.75 × 718,146.75
  4. Step 4: Simplify right side
    464,953.50x = 515,734,754,535.56
  5. Step 5: Solve for x
    x = 515,734,754,535.56/464,953.50
  6. Step 6: Final answer
    x = 1,109,217.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.