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Finding the Third Proportional to 224,569.13 and 328,493.81

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Solution

The third proportional to 224,569.13 and 328,493.81 is: 480,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569.13 : 328,493.81 = 328,493.81 : x
  2. Step 2: Convert to fraction form
    224,569.13/328,493.81 = 328,493.81/x
  3. Step 3: Cross multiply
    224,569.13x = 328,493.81 × 328,493.81
  4. Step 4: Simplify right side
    224,569.13x = 107,908,184,850.79
  5. Step 5: Solve for x
    x = 107,908,184,850.79/224,569.13
  6. Step 6: Final answer
    x = 480,512.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.