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Finding the Third Proportional to 266,575 and 592,199

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Solution

The third proportional to 266,575 and 592,199 is: 1,315,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,575 : 592,199 = 592,199 : x
  2. Step 2: Convert to fraction form
    266,575/592,199 = 592,199/x
  3. Step 3: Cross multiply
    266,575x = 592,199 × 592,199
  4. Step 4: Simplify right side
    266,575x = 350,699,655,601
  5. Step 5: Solve for x
    x = 350,699,655,601/266,575
  6. Step 6: Final answer
    x = 1,315,575.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.