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Finding the Third Proportional to 451,753.50 and 602,256.38

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Solution

The third proportional to 451,753.50 and 602,256.38 is: 802,899.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,753.50 : 602,256.38 = 602,256.38 : x
  2. Step 2: Convert to fraction form
    451,753.50/602,256.38 = 602,256.38/x
  3. Step 3: Cross multiply
    451,753.50x = 602,256.38 × 602,256.38
  4. Step 4: Simplify right side
    451,753.50x = 362,712,741,228.14
  5. Step 5: Solve for x
    x = 362,712,741,228.14/451,753.50
  6. Step 6: Final answer
    x = 802,899.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.