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Finding the Third Proportional to 296,092 and 651,224

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Solution

The third proportional to 296,092 and 651,224 is: 1,432,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,092 : 651,224 = 651,224 : x
  2. Step 2: Convert to fraction form
    296,092/651,224 = 651,224/x
  3. Step 3: Cross multiply
    296,092x = 651,224 × 651,224
  4. Step 4: Simplify right side
    296,092x = 424,092,698,176
  5. Step 5: Solve for x
    x = 424,092,698,176/296,092
  6. Step 6: Final answer
    x = 1,432,300.43

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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.