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Finding the Third Proportional to 287,726 and 435,587.25

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Solution

The third proportional to 287,726 and 435,587.25 is: 659,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,726 : 435,587.25 = 435,587.25 : x
  2. Step 2: Convert to fraction form
    287,726/435,587.25 = 435,587.25/x
  3. Step 3: Cross multiply
    287,726x = 435,587.25 × 435,587.25
  4. Step 4: Simplify right side
    287,726x = 189,736,252,362.56
  5. Step 5: Solve for x
    x = 189,736,252,362.56/287,726
  6. Step 6: Final answer
    x = 659,433.81

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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.