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Finding the Third Proportional to 228,298.50 and 488,278.13

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Solution

The third proportional to 228,298.50 and 488,278.13 is: 1,044,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,298.50 : 488,278.13 = 488,278.13 : x
  2. Step 2: Convert to fraction form
    228,298.50/488,278.13 = 488,278.13/x
  3. Step 3: Cross multiply
    228,298.50x = 488,278.13 × 488,278.13
  4. Step 4: Simplify right side
    228,298.50x = 238,415,527,353.52
  5. Step 5: Solve for x
    x = 238,415,527,353.52/228,298.50
  6. Step 6: Final answer
    x = 1,044,314.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.