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Finding the Third Proportional to 285,727.50 and 452,047.50

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Solution

The third proportional to 285,727.50 and 452,047.50 is: 715,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,727.50 : 452,047.50 = 452,047.50 : x
  2. Step 2: Convert to fraction form
    285,727.50/452,047.50 = 452,047.50/x
  3. Step 3: Cross multiply
    285,727.50x = 452,047.50 × 452,047.50
  4. Step 4: Simplify right side
    285,727.50x = 204,346,942,256.25
  5. Step 5: Solve for x
    x = 204,346,942,256.25/285,727.50
  6. Step 6: Final answer
    x = 715,181.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.