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Finding the Third Proportional to 266,301 and 576,919.50

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Solution

The third proportional to 266,301 and 576,919.50 is: 1,249,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,301 : 576,919.50 = 576,919.50 : x
  2. Step 2: Convert to fraction form
    266,301/576,919.50 = 576,919.50/x
  3. Step 3: Cross multiply
    266,301x = 576,919.50 × 576,919.50
  4. Step 4: Simplify right side
    266,301x = 332,836,109,480.25
  5. Step 5: Solve for x
    x = 332,836,109,480.25/266,301
  6. Step 6: Final answer
    x = 1,249,849.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.