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Finding the Third Proportional to 314,451 and 698,562

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Solution

The third proportional to 314,451 and 698,562 is: 1,551,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,451 : 698,562 = 698,562 : x
  2. Step 2: Convert to fraction form
    314,451/698,562 = 698,562/x
  3. Step 3: Cross multiply
    314,451x = 698,562 × 698,562
  4. Step 4: Simplify right side
    314,451x = 487,988,867,844
  5. Step 5: Solve for x
    x = 487,988,867,844/314,451
  6. Step 6: Final answer
    x = 1,551,875.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.