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Finding the Third Proportional to 229,374 and 503,028

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Solution

The third proportional to 229,374 and 503,028 is: 1,103,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,374 : 503,028 = 503,028 : x
  2. Step 2: Convert to fraction form
    229,374/503,028 = 503,028/x
  3. Step 3: Cross multiply
    229,374x = 503,028 × 503,028
  4. Step 4: Simplify right side
    229,374x = 253,037,168,784
  5. Step 5: Solve for x
    x = 253,037,168,784/229,374
  6. Step 6: Final answer
    x = 1,103,164.13

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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.