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Finding the Third Proportional to 359,236 and 563,532

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Solution

The third proportional to 359,236 and 563,532 is: 884,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,236 : 563,532 = 563,532 : x
  2. Step 2: Convert to fraction form
    359,236/563,532 = 563,532/x
  3. Step 3: Cross multiply
    359,236x = 563,532 × 563,532
  4. Step 4: Simplify right side
    359,236x = 317,568,315,024
  5. Step 5: Solve for x
    x = 317,568,315,024/359,236
  6. Step 6: Final answer
    x = 884,010.27

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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.