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Finding the Third Proportional to 347,029.50 and 522,052.50

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Solution

The third proportional to 347,029.50 and 522,052.50 is: 785,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,029.50 : 522,052.50 = 522,052.50 : x
  2. Step 2: Convert to fraction form
    347,029.50/522,052.50 = 522,052.50/x
  3. Step 3: Cross multiply
    347,029.50x = 522,052.50 × 522,052.50
  4. Step 4: Simplify right side
    347,029.50x = 272,538,812,756.25
  5. Step 5: Solve for x
    x = 272,538,812,756.25/347,029.50
  6. Step 6: Final answer
    x = 785,347.68

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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.