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Finding the Third Proportional to 426,916.50 and 914,362.50

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Solution

The third proportional to 426,916.50 and 914,362.50 is: 1,958,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,916.50 : 914,362.50 = 914,362.50 : x
  2. Step 2: Convert to fraction form
    426,916.50/914,362.50 = 914,362.50/x
  3. Step 3: Cross multiply
    426,916.50x = 914,362.50 × 914,362.50
  4. Step 4: Simplify right side
    426,916.50x = 836,058,781,406.25
  5. Step 5: Solve for x
    x = 836,058,781,406.25/426,916.50
  6. Step 6: Final answer
    x = 1,958,366.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.