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Finding the Third Proportional to 753,117.75 and 1,053,374.63

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Solution

The third proportional to 753,117.75 and 1,053,374.63 is: 1,473,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,117.75 : 1,053,374.63 = 1,053,374.63 : x
  2. Step 2: Convert to fraction form
    753,117.75/1,053,374.63 = 1,053,374.63/x
  3. Step 3: Cross multiply
    753,117.75x = 1,053,374.63 × 1,053,374.63
  4. Step 4: Simplify right side
    753,117.75x = 1,109,598,100,593.89
  5. Step 5: Solve for x
    x = 1,109,598,100,593.89/753,117.75
  6. Step 6: Final answer
    x = 1,473,339.46

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.