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Finding the Third Proportional to 832,315.50 and 1,248,581.25

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Solution

The third proportional to 832,315.50 and 1,248,581.25 is: 1,873,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,315.50 : 1,248,581.25 = 1,248,581.25 : x
  2. Step 2: Convert to fraction form
    832,315.50/1,248,581.25 = 1,248,581.25/x
  3. Step 3: Cross multiply
    832,315.50x = 1,248,581.25 × 1,248,581.25
  4. Step 4: Simplify right side
    832,315.50x = 1,558,955,137,851.56
  5. Step 5: Solve for x
    x = 1,558,955,137,851.56/832,315.50
  6. Step 6: Final answer
    x = 1,873,033.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.