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Finding the Third Proportional to 296,034.75 and 651,118.50

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Solution

The third proportional to 296,034.75 and 651,118.50 is: 1,432,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,034.75 : 651,118.50 = 651,118.50 : x
  2. Step 2: Convert to fraction form
    296,034.75/651,118.50 = 651,118.50/x
  3. Step 3: Cross multiply
    296,034.75x = 651,118.50 × 651,118.50
  4. Step 4: Simplify right side
    296,034.75x = 423,955,301,042.25
  5. Step 5: Solve for x
    x = 423,955,301,042.25/296,034.75
  6. Step 6: Final answer
    x = 1,432,113.29

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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.