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Finding the Third Proportional to 243,487.50 and 533,677

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Solution

The third proportional to 243,487.50 and 533,677 is: 1,169,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,487.50 : 533,677 = 533,677 : x
  2. Step 2: Convert to fraction form
    243,487.50/533,677 = 533,677/x
  3. Step 3: Cross multiply
    243,487.50x = 533,677 × 533,677
  4. Step 4: Simplify right side
    243,487.50x = 284,811,140,329
  5. Step 5: Solve for x
    x = 284,811,140,329/243,487.50
  6. Step 6: Final answer
    x = 1,169,715.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.