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Finding the Third Proportional to 261,321.19 and 554,041.69

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Solution

The third proportional to 261,321.19 and 554,041.69 is: 1,174,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,321.19 : 554,041.69 = 554,041.69 : x
  2. Step 2: Convert to fraction form
    261,321.19/554,041.69 = 554,041.69/x
  3. Step 3: Cross multiply
    261,321.19x = 554,041.69 × 554,041.69
  4. Step 4: Simplify right side
    261,321.19x = 306,962,191,487.85
  5. Step 5: Solve for x
    x = 306,962,191,487.85/261,321.19
  6. Step 6: Final answer
    x = 1,174,654.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.