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Finding the Third Proportional to 788,064.75 and 1,248,072.75

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Solution

The third proportional to 788,064.75 and 1,248,072.75 is: 1,976,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,064.75 : 1,248,072.75 = 1,248,072.75 : x
  2. Step 2: Convert to fraction form
    788,064.75/1,248,072.75 = 1,248,072.75/x
  3. Step 3: Cross multiply
    788,064.75x = 1,248,072.75 × 1,248,072.75
  4. Step 4: Simplify right side
    788,064.75x = 1,557,685,589,292.56
  5. Step 5: Solve for x
    x = 1,557,685,589,292.56/788,064.75
  6. Step 6: Final answer
    x = 1,976,595.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.