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Finding the Third Proportional to 287,401.50 and 435,078

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Solution

The third proportional to 287,401.50 and 435,078 is: 658,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,401.50 : 435,078 = 435,078 : x
  2. Step 2: Convert to fraction form
    287,401.50/435,078 = 435,078/x
  3. Step 3: Cross multiply
    287,401.50x = 435,078 × 435,078
  4. Step 4: Simplify right side
    287,401.50x = 189,292,866,084
  5. Step 5: Solve for x
    x = 189,292,866,084/287,401.50
  6. Step 6: Final answer
    x = 658,635.62

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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.