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Finding the Third Proportional to 296,082 and 651,213

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Solution

The third proportional to 296,082 and 651,213 is: 1,432,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082 : 651,213 = 651,213 : x
  2. Step 2: Convert to fraction form
    296,082/651,213 = 651,213/x
  3. Step 3: Cross multiply
    296,082x = 651,213 × 651,213
  4. Step 4: Simplify right side
    296,082x = 424,078,371,369
  5. Step 5: Solve for x
    x = 424,078,371,369/296,082
  6. Step 6: Final answer
    x = 1,432,300.41

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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.