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Finding the Third Proportional to 461,184 and 589,284

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Solution

The third proportional to 461,184 and 589,284 is: 752,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,184 : 589,284 = 589,284 : x
  2. Step 2: Convert to fraction form
    461,184/589,284 = 589,284/x
  3. Step 3: Cross multiply
    461,184x = 589,284 × 589,284
  4. Step 4: Simplify right side
    461,184x = 347,255,632,656
  5. Step 5: Solve for x
    x = 347,255,632,656/461,184
  6. Step 6: Final answer
    x = 752,965.48

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.