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Finding the Third Proportional to 472,055.98 and 712,025.12

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Solution

The third proportional to 472,055.98 and 712,025.12 is: 1,073,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,055.98 : 712,025.12 = 712,025.12 : x
  2. Step 2: Convert to fraction form
    472,055.98/712,025.12 = 712,025.12/x
  3. Step 3: Cross multiply
    472,055.98x = 712,025.12 × 712,025.12
  4. Step 4: Simplify right side
    472,055.98x = 506,979,773,068.57
  5. Step 5: Solve for x
    x = 506,979,773,068.57/472,055.98
  6. Step 6: Final answer
    x = 1,073,982.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.