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Finding the Third Proportional to 229,431 and 503,178

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Solution

The third proportional to 229,431 and 503,178 is: 1,103,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,431 : 503,178 = 503,178 : x
  2. Step 2: Convert to fraction form
    229,431/503,178 = 503,178/x
  3. Step 3: Cross multiply
    229,431x = 503,178 × 503,178
  4. Step 4: Simplify right side
    229,431x = 253,188,099,684
  5. Step 5: Solve for x
    x = 253,188,099,684/229,431
  6. Step 6: Final answer
    x = 1,103,547.91

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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.