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Finding the Third Proportional to 359,223 and 563,512.50

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Solution

The third proportional to 359,223 and 563,512.50 is: 883,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,223 : 563,512.50 = 563,512.50 : x
  2. Step 2: Convert to fraction form
    359,223/563,512.50 = 563,512.50/x
  3. Step 3: Cross multiply
    359,223x = 563,512.50 × 563,512.50
  4. Step 4: Simplify right side
    359,223x = 317,546,337,656.25
  5. Step 5: Solve for x
    x = 317,546,337,656.25/359,223
  6. Step 6: Final answer
    x = 883,981.09

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