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Finding the Third Proportional to 338,492 and 791,078

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Solution

The third proportional to 338,492 and 791,078 is: 1,848,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,492 : 791,078 = 791,078 : x
  2. Step 2: Convert to fraction form
    338,492/791,078 = 791,078/x
  3. Step 3: Cross multiply
    338,492x = 791,078 × 791,078
  4. Step 4: Simplify right side
    338,492x = 625,804,402,084
  5. Step 5: Solve for x
    x = 625,804,402,084/338,492
  6. Step 6: Final answer
    x = 1,848,801.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.