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Finding the Third Proportional to 296,118 and 651,273

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Solution

The third proportional to 296,118 and 651,273 is: 1,432,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,118 : 651,273 = 651,273 : x
  2. Step 2: Convert to fraction form
    296,118/651,273 = 651,273/x
  3. Step 3: Cross multiply
    296,118x = 651,273 × 651,273
  4. Step 4: Simplify right side
    296,118x = 424,156,520,529
  5. Step 5: Solve for x
    x = 424,156,520,529/296,118
  6. Step 6: Final answer
    x = 1,432,390.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.