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Finding the Third Proportional to 232,480.13 and 492,859.13

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Solution

The third proportional to 232,480.13 and 492,859.13 is: 1,044,864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,480.13 : 492,859.13 = 492,859.13 : x
  2. Step 2: Convert to fraction form
    232,480.13/492,859.13 = 492,859.13/x
  3. Step 3: Cross multiply
    232,480.13x = 492,859.13 × 492,859.13
  4. Step 4: Simplify right side
    232,480.13x = 242,910,117,095.77
  5. Step 5: Solve for x
    x = 242,910,117,095.77/232,480.13
  6. Step 6: Final answer
    x = 1,044,864.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.