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Finding the Third Proportional to 261,441.84 and 554,273.72

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Solution

The third proportional to 261,441.84 and 554,273.72 is: 1,175,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,441.84 : 554,273.72 = 554,273.72 : x
  2. Step 2: Convert to fraction form
    261,441.84/554,273.72 = 554,273.72/x
  3. Step 3: Cross multiply
    261,441.84x = 554,273.72 × 554,273.72
  4. Step 4: Simplify right side
    261,441.84x = 307,219,355,296.95
  5. Step 5: Solve for x
    x = 307,219,355,296.95/261,441.84
  6. Step 6: Final answer
    x = 1,175,096.35

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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.