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Finding the Third Proportional to 472,629.66 and 726,465.66

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Solution

The third proportional to 472,629.66 and 726,465.66 is: 1,116,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,629.66 : 726,465.66 = 726,465.66 : x
  2. Step 2: Convert to fraction form
    472,629.66/726,465.66 = 726,465.66/x
  3. Step 3: Cross multiply
    472,629.66x = 726,465.66 × 726,465.66
  4. Step 4: Simplify right side
    472,629.66x = 527,752,349,710.74
  5. Step 5: Solve for x
    x = 527,752,349,710.74/472,629.66
  6. Step 6: Final answer
    x = 1,116,629.78

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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.