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Finding the Third Proportional to 296,082 and 651,210

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Solution

The third proportional to 296,082 and 651,210 is: 1,432,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 651,210 = 651,210 : x
  2. Step 2: Convert to fraction form
    296,082/651,210 = 651,210/x
  3. Step 3: Cross multiply
    296,082x = 651,210 × 651,210
  4. Step 4: Simplify right side
    296,082x = 424,074,464,100
  5. Step 5: Solve for x
    x = 424,074,464,100/296,082
  6. Step 6: Final answer
    x = 1,432,287.22

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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.