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Finding the Third Proportional to 367,128 and 536,598

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Solution

The third proportional to 367,128 and 536,598 is: 784,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,128 : 536,598 = 536,598 : x
  2. Step 2: Convert to fraction form
    367,128/536,598 = 536,598/x
  3. Step 3: Cross multiply
    367,128x = 536,598 × 536,598
  4. Step 4: Simplify right side
    367,128x = 287,937,413,604
  5. Step 5: Solve for x
    x = 287,937,413,604/367,128
  6. Step 6: Final answer
    x = 784,297.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.