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Finding the Third Proportional to 555,098.06 and 1,153,827.28

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Solution

The third proportional to 555,098.06 and 1,153,827.28 is: 2,398,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,098.06 : 1,153,827.28 = 1,153,827.28 : x
  2. Step 2: Convert to fraction form
    555,098.06/1,153,827.28 = 1,153,827.28/x
  3. Step 3: Cross multiply
    555,098.06x = 1,153,827.28 × 1,153,827.28
  4. Step 4: Simplify right side
    555,098.06x = 1,331,317,394,956.77
  5. Step 5: Solve for x
    x = 1,331,317,394,956.77/555,098.06
  6. Step 6: Final answer
    x = 2,398,346.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.