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Finding the Third Proportional to 470,238 and 726,534

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Solution

The third proportional to 470,238 and 726,534 is: 1,122,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,238 : 726,534 = 726,534 : x
  2. Step 2: Convert to fraction form
    470,238/726,534 = 726,534/x
  3. Step 3: Cross multiply
    470,238x = 726,534 × 726,534
  4. Step 4: Simplify right side
    470,238x = 527,851,653,156
  5. Step 5: Solve for x
    x = 527,851,653,156/470,238
  6. Step 6: Final answer
    x = 1,122,520.20

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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.