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Finding the Third Proportional to 788,298.75 and 1,202,131.13

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Solution

The third proportional to 788,298.75 and 1,202,131.13 is: 1,833,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,298.75 : 1,202,131.13 = 1,202,131.13 : x
  2. Step 2: Convert to fraction form
    788,298.75/1,202,131.13 = 1,202,131.13/x
  3. Step 3: Cross multiply
    788,298.75x = 1,202,131.13 × 1,202,131.13
  4. Step 4: Simplify right side
    788,298.75x = 1,445,119,241,693.77
  5. Step 5: Solve for x
    x = 1,445,119,241,693.77/788,298.75
  6. Step 6: Final answer
    x = 1,833,212.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.