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Finding the Third Proportional to 287,184.75 and 476,977.50

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Solution

The third proportional to 287,184.75 and 476,977.50 is: 792,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,184.75 : 476,977.50 = 476,977.50 : x
  2. Step 2: Convert to fraction form
    287,184.75/476,977.50 = 476,977.50/x
  3. Step 3: Cross multiply
    287,184.75x = 476,977.50 × 476,977.50
  4. Step 4: Simplify right side
    287,184.75x = 227,507,535,506.25
  5. Step 5: Solve for x
    x = 227,507,535,506.25/287,184.75
  6. Step 6: Final answer
    x = 792,199.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.