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Finding the Third Proportional to 488,290.50 and 1,071,127

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Solution

The third proportional to 488,290.50 and 1,071,127 is: 2,349,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,290.50 : 1,071,127 = 1,071,127 : x
  2. Step 2: Convert to fraction form
    488,290.50/1,071,127 = 1,071,127/x
  3. Step 3: Cross multiply
    488,290.50x = 1,071,127 × 1,071,127
  4. Step 4: Simplify right side
    488,290.50x = 1,147,313,050,129
  5. Step 5: Solve for x
    x = 1,147,313,050,129/488,290.50
  6. Step 6: Final answer
    x = 2,349,652.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.