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Finding the Third Proportional to 235,278 and 514,620

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Solution

The third proportional to 235,278 and 514,620 is: 1,125,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,278 : 514,620 = 514,620 : x
  2. Step 2: Convert to fraction form
    235,278/514,620 = 514,620/x
  3. Step 3: Cross multiply
    235,278x = 514,620 × 514,620
  4. Step 4: Simplify right side
    235,278x = 264,833,744,400
  5. Step 5: Solve for x
    x = 264,833,744,400/235,278
  6. Step 6: Final answer
    x = 1,125,620.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.