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Finding the Third Proportional to 230,103 and 504,486

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Solution

The third proportional to 230,103 and 504,486 is: 1,106,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,103 : 504,486 = 504,486 : x
  2. Step 2: Convert to fraction form
    230,103/504,486 = 504,486/x
  3. Step 3: Cross multiply
    230,103x = 504,486 × 504,486
  4. Step 4: Simplify right side
    230,103x = 254,506,124,196
  5. Step 5: Solve for x
    x = 254,506,124,196/230,103
  6. Step 6: Final answer
    x = 1,106,053.05

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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.