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Finding the Third Proportional to 266,438 and 570,664

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Solution

The third proportional to 266,438 and 570,664 is: 1,222,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438 : 570,664 = 570,664 : x
  2. Step 2: Convert to fraction form
    266,438/570,664 = 570,664/x
  3. Step 3: Cross multiply
    266,438x = 570,664 × 570,664
  4. Step 4: Simplify right side
    266,438x = 325,657,400,896
  5. Step 5: Solve for x
    x = 325,657,400,896/266,438
  6. Step 6: Final answer
    x = 1,222,263.34

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Why These Related Problems?

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