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Finding the Third Proportional to 454,302 and 712,766.25

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Solution

The third proportional to 454,302 and 712,766.25 is: 1,118,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,302 : 712,766.25 = 712,766.25 : x
  2. Step 2: Convert to fraction form
    454,302/712,766.25 = 712,766.25/x
  3. Step 3: Cross multiply
    454,302x = 712,766.25 × 712,766.25
  4. Step 4: Simplify right side
    454,302x = 508,035,727,139.06
  5. Step 5: Solve for x
    x = 508,035,727,139.06/454,302
  6. Step 6: Final answer
    x = 1,118,277.55

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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.