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Finding the Third Proportional to 287,194.50 and 402,455.50

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Solution

The third proportional to 287,194.50 and 402,455.50 is: 563,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,194.50 : 402,455.50 = 402,455.50 : x
  2. Step 2: Convert to fraction form
    287,194.50/402,455.50 = 402,455.50/x
  3. Step 3: Cross multiply
    287,194.50x = 402,455.50 × 402,455.50
  4. Step 4: Simplify right side
    287,194.50x = 161,970,429,480.25
  5. Step 5: Solve for x
    x = 161,970,429,480.25/287,194.50
  6. Step 6: Final answer
    x = 563,974.69

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.