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Finding the Third Proportional to 359,222 and 563,510

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Solution

The third proportional to 359,222 and 563,510 is: 883,975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,222 : 563,510 = 563,510 : x
  2. Step 2: Convert to fraction form
    359,222/563,510 = 563,510/x
  3. Step 3: Cross multiply
    359,222x = 563,510 × 563,510
  4. Step 4: Simplify right side
    359,222x = 317,543,520,100
  5. Step 5: Solve for x
    x = 317,543,520,100/359,222
  6. Step 6: Final answer
    x = 883,975.70

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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.