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Finding the Third Proportional to 235,446 and 503,208

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Solution

The third proportional to 235,446 and 503,208 is: 1,075,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,446 : 503,208 = 503,208 : x
  2. Step 2: Convert to fraction form
    235,446/503,208 = 503,208/x
  3. Step 3: Cross multiply
    235,446x = 503,208 × 503,208
  4. Step 4: Simplify right side
    235,446x = 253,218,291,264
  5. Step 5: Solve for x
    x = 253,218,291,264/235,446
  6. Step 6: Final answer
    x = 1,075,483.51

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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.