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Finding the Third Proportional to 467,264 and 732,168

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Solution

The third proportional to 467,264 and 732,168 is: 1,147,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,264 : 732,168 = 732,168 : x
  2. Step 2: Convert to fraction form
    467,264/732,168 = 732,168/x
  3. Step 3: Cross multiply
    467,264x = 732,168 × 732,168
  4. Step 4: Simplify right side
    467,264x = 536,069,980,224
  5. Step 5: Solve for x
    x = 536,069,980,224/467,264
  6. Step 6: Final answer
    x = 1,147,252.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.