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Finding the Third Proportional to 287,055.50 and 448,024.75

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Solution

The third proportional to 287,055.50 and 448,024.75 is: 699,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,055.50 : 448,024.75 = 448,024.75 : x
  2. Step 2: Convert to fraction form
    287,055.50/448,024.75 = 448,024.75/x
  3. Step 3: Cross multiply
    287,055.50x = 448,024.75 × 448,024.75
  4. Step 4: Simplify right side
    287,055.50x = 200,726,176,612.56
  5. Step 5: Solve for x
    x = 200,726,176,612.56/287,055.50
  6. Step 6: Final answer
    x = 699,259.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.