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Finding the Third Proportional to 357,692 and 517,232

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Solution

The third proportional to 357,692 and 517,232 is: 747,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,692 : 517,232 = 517,232 : x
  2. Step 2: Convert to fraction form
    357,692/517,232 = 517,232/x
  3. Step 3: Cross multiply
    357,692x = 517,232 × 517,232
  4. Step 4: Simplify right side
    357,692x = 267,528,941,824
  5. Step 5: Solve for x
    x = 267,528,941,824/357,692
  6. Step 6: Final answer
    x = 747,931.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.