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Finding the Third Proportional to 286,153.50 and 442,882

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Solution

The third proportional to 286,153.50 and 442,882 is: 685,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,153.50 : 442,882 = 442,882 : x
  2. Step 2: Convert to fraction form
    286,153.50/442,882 = 442,882/x
  3. Step 3: Cross multiply
    286,153.50x = 442,882 × 442,882
  4. Step 4: Simplify right side
    286,153.50x = 196,144,465,924
  5. Step 5: Solve for x
    x = 196,144,465,924/286,153.50
  6. Step 6: Final answer
    x = 685,451.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.