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Finding the Third Proportional to 287,724 and 435,583.50

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Solution

The third proportional to 287,724 and 435,583.50 is: 659,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,724 : 435,583.50 = 435,583.50 : x
  2. Step 2: Convert to fraction form
    287,724/435,583.50 = 435,583.50/x
  3. Step 3: Cross multiply
    287,724x = 435,583.50 × 435,583.50
  4. Step 4: Simplify right side
    287,724x = 189,732,985,472.25
  5. Step 5: Solve for x
    x = 189,732,985,472.25/287,724
  6. Step 6: Final answer
    x = 659,427.04

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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.