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Finding the Third Proportional to 359,000 and 563,212

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Solution

The third proportional to 359,000 and 563,212 is: 883,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,000 : 563,212 = 563,212 : x
  2. Step 2: Convert to fraction form
    359,000/563,212 = 563,212/x
  3. Step 3: Cross multiply
    359,000x = 563,212 × 563,212
  4. Step 4: Simplify right side
    359,000x = 317,207,756,944
  5. Step 5: Solve for x
    x = 317,207,756,944/359,000
  6. Step 6: Final answer
    x = 883,587.07

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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.