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Finding the Third Proportional to 287,752.50 and 446,806.13

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Solution

The third proportional to 287,752.50 and 446,806.13 is: 693,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,752.50 : 446,806.13 = 446,806.13 : x
  2. Step 2: Convert to fraction form
    287,752.50/446,806.13 = 446,806.13/x
  3. Step 3: Cross multiply
    287,752.50x = 446,806.13 × 446,806.13
  4. Step 4: Simplify right side
    287,752.50x = 199,635,713,337.52
  5. Step 5: Solve for x
    x = 199,635,713,337.52/287,752.50
  6. Step 6: Final answer
    x = 693,775.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.