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Finding the Third Proportional to 296,476 and 651,991

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Solution

The third proportional to 296,476 and 651,991 is: 1,433,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,476 : 651,991 = 651,991 : x
  2. Step 2: Convert to fraction form
    296,476/651,991 = 651,991/x
  3. Step 3: Cross multiply
    296,476x = 651,991 × 651,991
  4. Step 4: Simplify right side
    296,476x = 425,092,264,081
  5. Step 5: Solve for x
    x = 425,092,264,081/296,476
  6. Step 6: Final answer
    x = 1,433,816.78

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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.