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Finding the Third Proportional to 235,448 and 510,013

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Solution

The third proportional to 235,448 and 510,013 is: 1,104,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,448 : 510,013 = 510,013 : x
  2. Step 2: Convert to fraction form
    235,448/510,013 = 510,013/x
  3. Step 3: Cross multiply
    235,448x = 510,013 × 510,013
  4. Step 4: Simplify right side
    235,448x = 260,113,260,169
  5. Step 5: Solve for x
    x = 260,113,260,169/235,448
  6. Step 6: Final answer
    x = 1,104,758.84

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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.