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Finding the Third Proportional to 355,681.13 and 533,531.81

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Solution

The third proportional to 355,681.13 and 533,531.81 is: 800,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,681.13 : 533,531.81 = 533,531.81 : x
  2. Step 2: Convert to fraction form
    355,681.13/533,531.81 = 533,531.81/x
  3. Step 3: Cross multiply
    355,681.13x = 533,531.81 × 533,531.81
  4. Step 4: Simplify right side
    355,681.13x = 284,656,194,949.54
  5. Step 5: Solve for x
    x = 284,656,194,949.54/355,681.13
  6. Step 6: Final answer
    x = 800,312.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.