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Finding the Third Proportional to 508,482 and 769,284

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Solution

The third proportional to 508,482 and 769,284 is: 1,163,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,482 : 769,284 = 769,284 : x
  2. Step 2: Convert to fraction form
    508,482/769,284 = 769,284/x
  3. Step 3: Cross multiply
    508,482x = 769,284 × 769,284
  4. Step 4: Simplify right side
    508,482x = 591,797,872,656
  5. Step 5: Solve for x
    x = 591,797,872,656/508,482
  6. Step 6: Final answer
    x = 1,163,852.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.