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Finding the Third Proportional to 272,299.50 and 591,823.13

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Solution

The third proportional to 272,299.50 and 591,823.13 is: 1,286,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,299.50 : 591,823.13 = 591,823.13 : x
  2. Step 2: Convert to fraction form
    272,299.50/591,823.13 = 591,823.13/x
  3. Step 3: Cross multiply
    272,299.50x = 591,823.13 × 591,823.13
  4. Step 4: Simplify right side
    272,299.50x = 350,254,611,284.77
  5. Step 5: Solve for x
    x = 350,254,611,284.77/272,299.50
  6. Step 6: Final answer
    x = 1,286,284.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.