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Finding the Third Proportional to 235,448 and 503,212

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Solution

The third proportional to 235,448 and 503,212 is: 1,075,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,448 : 503,212 = 503,212 : x
  2. Step 2: Convert to fraction form
    235,448/503,212 = 503,212/x
  3. Step 3: Cross multiply
    235,448x = 503,212 × 503,212
  4. Step 4: Simplify right side
    235,448x = 253,222,316,944
  5. Step 5: Solve for x
    x = 253,222,316,944/235,448
  6. Step 6: Final answer
    x = 1,075,491.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.