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Finding the Third Proportional to 266,864.63 and 412,763.34

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Solution

The third proportional to 266,864.63 and 412,763.34 is: 638,426.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,864.63 : 412,763.34 = 412,763.34 : x
  2. Step 2: Convert to fraction form
    266,864.63/412,763.34 = 412,763.34/x
  3. Step 3: Cross multiply
    266,864.63x = 412,763.34 × 412,763.34
  4. Step 4: Simplify right side
    266,864.63x = 170,373,577,943.68
  5. Step 5: Solve for x
    x = 170,373,577,943.68/266,864.63
  6. Step 6: Final answer
    x = 638,426.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.