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Finding the Third Proportional to 495,885.38 and 736,538.06

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Solution

The third proportional to 495,885.38 and 736,538.06 is: 1,093,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,885.38 : 736,538.06 = 736,538.06 : x
  2. Step 2: Convert to fraction form
    495,885.38/736,538.06 = 736,538.06/x
  3. Step 3: Cross multiply
    495,885.38x = 736,538.06 × 736,538.06
  4. Step 4: Simplify right side
    495,885.38x = 542,488,317,511.25
  5. Step 5: Solve for x
    x = 542,488,317,511.25/495,885.38
  6. Step 6: Final answer
    x = 1,093,979.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.