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Finding the Third Proportional to 235,413 and 504,522

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Solution

The third proportional to 235,413 and 504,522 is: 1,081,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,413 : 504,522 = 504,522 : x
  2. Step 2: Convert to fraction form
    235,413/504,522 = 504,522/x
  3. Step 3: Cross multiply
    235,413x = 504,522 × 504,522
  4. Step 4: Simplify right side
    235,413x = 254,542,448,484
  5. Step 5: Solve for x
    x = 254,542,448,484/235,413
  6. Step 6: Final answer
    x = 1,081,259.10

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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.