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Finding the Third Proportional to 287,464.50 and 671,431.50

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Solution

The third proportional to 287,464.50 and 671,431.50 is: 1,568,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,464.50 : 671,431.50 = 671,431.50 : x
  2. Step 2: Convert to fraction form
    287,464.50/671,431.50 = 671,431.50/x
  3. Step 3: Cross multiply
    287,464.50x = 671,431.50 × 671,431.50
  4. Step 4: Simplify right side
    287,464.50x = 450,820,259,192.25
  5. Step 5: Solve for x
    x = 450,820,259,192.25/287,464.50
  6. Step 6: Final answer
    x = 1,568,264.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.