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Finding the Third Proportional to 588,559.50 and 1,310,364

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Solution

The third proportional to 588,559.50 and 1,310,364 is: 2,917,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,559.50 : 1,310,364 = 1,310,364 : x
  2. Step 2: Convert to fraction form
    588,559.50/1,310,364 = 1,310,364/x
  3. Step 3: Cross multiply
    588,559.50x = 1,310,364 × 1,310,364
  4. Step 4: Simplify right side
    588,559.50x = 1,717,053,812,496
  5. Step 5: Solve for x
    x = 1,717,053,812,496/588,559.50
  6. Step 6: Final answer
    x = 2,917,383.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.