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Finding the Third Proportional to 287,701.50 and 451,323

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Solution

The third proportional to 287,701.50 and 451,323 is: 707,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,701.50 : 451,323 = 451,323 : x
  2. Step 2: Convert to fraction form
    287,701.50/451,323 = 451,323/x
  3. Step 3: Cross multiply
    287,701.50x = 451,323 × 451,323
  4. Step 4: Simplify right side
    287,701.50x = 203,692,450,329
  5. Step 5: Solve for x
    x = 203,692,450,329/287,701.50
  6. Step 6: Final answer
    x = 707,999.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.