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Finding the Third Proportional to 225,068 and 488,776

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Solution

The third proportional to 225,068 and 488,776 is: 1,061,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,068 : 488,776 = 488,776 : x
  2. Step 2: Convert to fraction form
    225,068/488,776 = 488,776/x
  3. Step 3: Cross multiply
    225,068x = 488,776 × 488,776
  4. Step 4: Simplify right side
    225,068x = 238,901,978,176
  5. Step 5: Solve for x
    x = 238,901,978,176/225,068
  6. Step 6: Final answer
    x = 1,061,465.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.