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Finding the Third Proportional to 301,407 and 466,284

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Solution

The third proportional to 301,407 and 466,284 is: 721,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,407 : 466,284 = 466,284 : x
  2. Step 2: Convert to fraction form
    301,407/466,284 = 466,284/x
  3. Step 3: Cross multiply
    301,407x = 466,284 × 466,284
  4. Step 4: Simplify right side
    301,407x = 217,420,768,656
  5. Step 5: Solve for x
    x = 217,420,768,656/301,407
  6. Step 6: Final answer
    x = 721,352.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.