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Finding the Third Proportional to 454,302 and 712,764.56

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Solution

The third proportional to 454,302 and 712,764.56 is: 1,118,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,302 : 712,764.56 = 712,764.56 : x
  2. Step 2: Convert to fraction form
    454,302/712,764.56 = 712,764.56/x
  3. Step 3: Cross multiply
    454,302x = 712,764.56 × 712,764.56
  4. Step 4: Simplify right side
    454,302x = 508,033,321,555.82
  5. Step 5: Solve for x
    x = 508,033,321,555.82/454,302
  6. Step 6: Final answer
    x = 1,118,272.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.