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Finding the Third Proportional to 287,550.63 and 446,482.13

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Solution

The third proportional to 287,550.63 and 446,482.13 is: 693,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,550.63 : 446,482.13 = 446,482.13 : x
  2. Step 2: Convert to fraction form
    287,550.63/446,482.13 = 446,482.13/x
  3. Step 3: Cross multiply
    287,550.63x = 446,482.13 × 446,482.13
  4. Step 4: Simplify right side
    287,550.63x = 199,346,287,944.52
  5. Step 5: Solve for x
    x = 199,346,287,944.52/287,550.63
  6. Step 6: Final answer
    x = 693,256.30

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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.