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Finding the Third Proportional to 685,280.25 and 1,008,055.13

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Solution

The third proportional to 685,280.25 and 1,008,055.13 is: 1,482,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,280.25 : 1,008,055.13 = 1,008,055.13 : x
  2. Step 2: Convert to fraction form
    685,280.25/1,008,055.13 = 1,008,055.13/x
  3. Step 3: Cross multiply
    685,280.25x = 1,008,055.13 × 1,008,055.13
  4. Step 4: Simplify right side
    685,280.25x = 1,016,175,135,038.77
  5. Step 5: Solve for x
    x = 1,016,175,135,038.77/685,280.25
  6. Step 6: Final answer
    x = 1,482,860.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.