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Finding the Third Proportional to 399,022.50 and 875,581.50

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Solution

The third proportional to 399,022.50 and 875,581.50 is: 1,921,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,022.50 : 875,581.50 = 875,581.50 : x
  2. Step 2: Convert to fraction form
    399,022.50/875,581.50 = 875,581.50/x
  3. Step 3: Cross multiply
    399,022.50x = 875,581.50 × 875,581.50
  4. Step 4: Simplify right side
    399,022.50x = 766,642,963,142.25
  5. Step 5: Solve for x
    x = 766,642,963,142.25/399,022.50
  6. Step 6: Final answer
    x = 1,921,302.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.