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Finding the Third Proportional to 427,329 and 911,864.25

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Solution

The third proportional to 427,329 and 911,864.25 is: 1,945,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,329 : 911,864.25 = 911,864.25 : x
  2. Step 2: Convert to fraction form
    427,329/911,864.25 = 911,864.25/x
  3. Step 3: Cross multiply
    427,329x = 911,864.25 × 911,864.25
  4. Step 4: Simplify right side
    427,329x = 831,496,410,428.06
  5. Step 5: Solve for x
    x = 831,496,410,428.06/427,329
  6. Step 6: Final answer
    x = 1,945,799.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.