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Finding the Third Proportional to 254,511 and 553,284

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Solution

The third proportional to 254,511 and 553,284 is: 1,202,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,511 : 553,284 = 553,284 : x
  2. Step 2: Convert to fraction form
    254,511/553,284 = 553,284/x
  3. Step 3: Cross multiply
    254,511x = 553,284 × 553,284
  4. Step 4: Simplify right side
    254,511x = 306,123,184,656
  5. Step 5: Solve for x
    x = 306,123,184,656/254,511
  6. Step 6: Final answer
    x = 1,202,789.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.