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Finding the Third Proportional to 375,259 and 552,966

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Solution

The third proportional to 375,259 and 552,966 is: 814,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,259 : 552,966 = 552,966 : x
  2. Step 2: Convert to fraction form
    375,259/552,966 = 552,966/x
  3. Step 3: Cross multiply
    375,259x = 552,966 × 552,966
  4. Step 4: Simplify right side
    375,259x = 305,771,397,156
  5. Step 5: Solve for x
    x = 305,771,397,156/375,259
  6. Step 6: Final answer
    x = 814,827.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.