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Finding the Third Proportional to 580,650 and 802,351

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Solution

The third proportional to 580,650 and 802,351 is: 1,108,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,650 : 802,351 = 802,351 : x
  2. Step 2: Convert to fraction form
    580,650/802,351 = 802,351/x
  3. Step 3: Cross multiply
    580,650x = 802,351 × 802,351
  4. Step 4: Simplify right side
    580,650x = 643,767,127,201
  5. Step 5: Solve for x
    x = 643,767,127,201/580,650
  6. Step 6: Final answer
    x = 1,108,700.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.