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Finding the Third Proportional to 492,452 and 771,402

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Solution

The third proportional to 492,452 and 771,402 is: 1,208,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,452 : 771,402 = 771,402 : x
  2. Step 2: Convert to fraction form
    492,452/771,402 = 771,402/x
  3. Step 3: Cross multiply
    492,452x = 771,402 × 771,402
  4. Step 4: Simplify right side
    492,452x = 595,061,045,604
  5. Step 5: Solve for x
    x = 595,061,045,604/492,452
  6. Step 6: Final answer
    x = 1,208,363.55

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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.