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Finding the Third Proportional to 359,217 and 563,503.50

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Solution

The third proportional to 359,217 and 563,503.50 is: 883,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,217 : 563,503.50 = 563,503.50 : x
  2. Step 2: Convert to fraction form
    359,217/563,503.50 = 563,503.50/x
  3. Step 3: Cross multiply
    359,217x = 563,503.50 × 563,503.50
  4. Step 4: Simplify right side
    359,217x = 317,536,194,512.25
  5. Step 5: Solve for x
    x = 317,536,194,512.25/359,217
  6. Step 6: Final answer
    x = 883,967.61

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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.