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Finding the Third Proportional to 287,971.88 and 628,435.13

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Solution

The third proportional to 287,971.88 and 628,435.13 is: 1,371,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,971.88 : 628,435.13 = 628,435.13 : x
  2. Step 2: Convert to fraction form
    287,971.88/628,435.13 = 628,435.13/x
  3. Step 3: Cross multiply
    287,971.88x = 628,435.13 × 628,435.13
  4. Step 4: Simplify right side
    287,971.88x = 394,930,706,333.77
  5. Step 5: Solve for x
    x = 394,930,706,333.77/287,971.88
  6. Step 6: Final answer
    x = 1,371,421.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.