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Finding the Third Proportional to 347,448 and 522,007.50

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Solution

The third proportional to 347,448 and 522,007.50 is: 784,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,448 : 522,007.50 = 522,007.50 : x
  2. Step 2: Convert to fraction form
    347,448/522,007.50 = 522,007.50/x
  3. Step 3: Cross multiply
    347,448x = 522,007.50 × 522,007.50
  4. Step 4: Simplify right side
    347,448x = 272,491,830,056.25
  5. Step 5: Solve for x
    x = 272,491,830,056.25/347,448
  6. Step 6: Final answer
    x = 784,266.51

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Why These Related Problems?

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