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Finding the Third Proportional to 262,732 and 546,432

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Solution

The third proportional to 262,732 and 546,432 is: 1,136,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,732 : 546,432 = 546,432 : x
  2. Step 2: Convert to fraction form
    262,732/546,432 = 546,432/x
  3. Step 3: Cross multiply
    262,732x = 546,432 × 546,432
  4. Step 4: Simplify right side
    262,732x = 298,587,930,624
  5. Step 5: Solve for x
    x = 298,587,930,624/262,732
  6. Step 6: Final answer
    x = 1,136,473.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.