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Finding the Third Proportional to 296,110 and 651,251

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Solution

The third proportional to 296,110 and 651,251 is: 1,432,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,110 : 651,251 = 651,251 : x
  2. Step 2: Convert to fraction form
    296,110/651,251 = 651,251/x
  3. Step 3: Cross multiply
    296,110x = 651,251 × 651,251
  4. Step 4: Simplify right side
    296,110x = 424,127,865,001
  5. Step 5: Solve for x
    x = 424,127,865,001/296,110
  6. Step 6: Final answer
    x = 1,432,332.12

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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.