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Finding the Third Proportional to 266,337 and 572,202

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Solution

The third proportional to 266,337 and 572,202 is: 1,229,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,337 : 572,202 = 572,202 : x
  2. Step 2: Convert to fraction form
    266,337/572,202 = 572,202/x
  3. Step 3: Cross multiply
    266,337x = 572,202 × 572,202
  4. Step 4: Simplify right side
    266,337x = 327,415,128,804
  5. Step 5: Solve for x
    x = 327,415,128,804/266,337
  6. Step 6: Final answer
    x = 1,229,326.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.