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Finding the Third Proportional to 357,268 and 781,496

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Solution

The third proportional to 357,268 and 781,496 is: 1,709,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,268 : 781,496 = 781,496 : x
  2. Step 2: Convert to fraction form
    357,268/781,496 = 781,496/x
  3. Step 3: Cross multiply
    357,268x = 781,496 × 781,496
  4. Step 4: Simplify right side
    357,268x = 610,735,998,016
  5. Step 5: Solve for x
    x = 610,735,998,016/357,268
  6. Step 6: Final answer
    x = 1,709,461.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.