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Finding the Third Proportional to 472,411.13 and 486,019.13

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Solution

The third proportional to 472,411.13 and 486,019.13 is: 500,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,411.13 : 486,019.13 = 486,019.13 : x
  2. Step 2: Convert to fraction form
    472,411.13/486,019.13 = 486,019.13/x
  3. Step 3: Cross multiply
    472,411.13x = 486,019.13 × 486,019.13
  4. Step 4: Simplify right side
    472,411.13x = 236,214,589,865.77
  5. Step 5: Solve for x
    x = 236,214,589,865.77/472,411.13
  6. Step 6: Final answer
    x = 500,019.11

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.