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Finding the Third Proportional to 359,521 and 563,966

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Solution

The third proportional to 359,521 and 563,966 is: 884,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,521 : 563,966 = 563,966 : x
  2. Step 2: Convert to fraction form
    359,521/563,966 = 563,966/x
  3. Step 3: Cross multiply
    359,521x = 563,966 × 563,966
  4. Step 4: Simplify right side
    359,521x = 318,057,649,156
  5. Step 5: Solve for x
    x = 318,057,649,156/359,521
  6. Step 6: Final answer
    x = 884,670.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.