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Finding the Third Proportional to 261,836.30 and 611,901.84

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Solution

The third proportional to 261,836.30 and 611,901.84 is: 1,429,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,836.30 : 611,901.84 = 611,901.84 : x
  2. Step 2: Convert to fraction form
    261,836.30/611,901.84 = 611,901.84/x
  3. Step 3: Cross multiply
    261,836.30x = 611,901.84 × 611,901.84
  4. Step 4: Simplify right side
    261,836.30x = 374,423,866,384.65
  5. Step 5: Solve for x
    x = 374,423,866,384.65/261,836.30
  6. Step 6: Final answer
    x = 1,429,992.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.