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Finding the Third Proportional to 266,242.88 and 573,082.13

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Solution

The third proportional to 266,242.88 and 573,082.13 is: 1,233,547.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,242.88 : 573,082.13 = 573,082.13 : x
  2. Step 2: Convert to fraction form
    266,242.88/573,082.13 = 573,082.13/x
  3. Step 3: Cross multiply
    266,242.88x = 573,082.13 × 573,082.13
  4. Step 4: Simplify right side
    266,242.88x = 328,423,121,994.52
  5. Step 5: Solve for x
    x = 328,423,121,994.52/266,242.88
  6. Step 6: Final answer
    x = 1,233,547.08

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Why These Related Problems?

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