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Finding the Third Proportional to 347,452 and 522,012

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Solution

The third proportional to 347,452 and 522,012 is: 784,271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,452 : 522,012 = 522,012 : x
  2. Step 2: Convert to fraction form
    347,452/522,012 = 522,012/x
  3. Step 3: Cross multiply
    347,452x = 522,012 × 522,012
  4. Step 4: Simplify right side
    347,452x = 272,496,528,144
  5. Step 5: Solve for x
    x = 272,496,528,144/347,452
  6. Step 6: Final answer
    x = 784,271.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.