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Finding the Third Proportional to 315,078 and 691,382

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Solution

The third proportional to 315,078 and 691,382 is: 1,517,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078 : 691,382 = 691,382 : x
  2. Step 2: Convert to fraction form
    315,078/691,382 = 691,382/x
  3. Step 3: Cross multiply
    315,078x = 691,382 × 691,382
  4. Step 4: Simplify right side
    315,078x = 478,009,069,924
  5. Step 5: Solve for x
    x = 478,009,069,924/315,078
  6. Step 6: Final answer
    x = 1,517,113.44

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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.