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Finding the Third Proportional to 234,176 and 503,854

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Solution

The third proportional to 234,176 and 503,854 is: 1,084,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,176 : 503,854 = 503,854 : x
  2. Step 2: Convert to fraction form
    234,176/503,854 = 503,854/x
  3. Step 3: Cross multiply
    234,176x = 503,854 × 503,854
  4. Step 4: Simplify right side
    234,176x = 253,868,853,316
  5. Step 5: Solve for x
    x = 253,868,853,316/234,176
  6. Step 6: Final answer
    x = 1,084,094.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.