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Finding the Third Proportional to 296,114 and 651,265

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Solution

The third proportional to 296,114 and 651,265 is: 1,432,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,114 : 651,265 = 651,265 : x
  2. Step 2: Convert to fraction form
    296,114/651,265 = 651,265/x
  3. Step 3: Cross multiply
    296,114x = 651,265 × 651,265
  4. Step 4: Simplify right side
    296,114x = 424,146,100,225
  5. Step 5: Solve for x
    x = 424,146,100,225/296,114
  6. Step 6: Final answer
    x = 1,432,374.36

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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.