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Finding the Third Proportional to 267,732 and 430,461

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Solution

The third proportional to 267,732 and 430,461 is: 692,097.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,732 : 430,461 = 430,461 : x
  2. Step 2: Convert to fraction form
    267,732/430,461 = 430,461/x
  3. Step 3: Cross multiply
    267,732x = 430,461 × 430,461
  4. Step 4: Simplify right side
    267,732x = 185,296,672,521
  5. Step 5: Solve for x
    x = 185,296,672,521/267,732
  6. Step 6: Final answer
    x = 692,097.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.