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Finding the Third Proportional to 472,017 and 725,943

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Solution

The third proportional to 472,017 and 725,943 is: 1,116,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,017 : 725,943 = 725,943 : x
  2. Step 2: Convert to fraction form
    472,017/725,943 = 725,943/x
  3. Step 3: Cross multiply
    472,017x = 725,943 × 725,943
  4. Step 4: Simplify right side
    472,017x = 526,993,239,249
  5. Step 5: Solve for x
    x = 526,993,239,249/472,017
  6. Step 6: Final answer
    x = 1,116,470.89

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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.