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Finding the Third Proportional to 287,188.03 and 624,737.81

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Solution

The third proportional to 287,188.03 and 624,737.81 is: 1,359,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,188.03 : 624,737.81 = 624,737.81 : x
  2. Step 2: Convert to fraction form
    287,188.03/624,737.81 = 624,737.81/x
  3. Step 3: Cross multiply
    287,188.03x = 624,737.81 × 624,737.81
  4. Step 4: Simplify right side
    287,188.03x = 390,297,334,367.29
  5. Step 5: Solve for x
    x = 390,297,334,367.29/287,188.03
  6. Step 6: Final answer
    x = 1,359,030.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.