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Finding the Third Proportional to 266,472 and 570,943.50

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Solution

The third proportional to 266,472 and 570,943.50 is: 1,223,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,472 : 570,943.50 = 570,943.50 : x
  2. Step 2: Convert to fraction form
    266,472/570,943.50 = 570,943.50/x
  3. Step 3: Cross multiply
    266,472x = 570,943.50 × 570,943.50
  4. Step 4: Simplify right side
    266,472x = 325,976,480,192.25
  5. Step 5: Solve for x
    x = 325,976,480,192.25/266,472
  6. Step 6: Final answer
    x = 1,223,304.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.