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Finding the Third Proportional to 229,410 and 500,292

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Solution

The third proportional to 229,410 and 500,292 is: 1,091,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,410 : 500,292 = 500,292 : x
  2. Step 2: Convert to fraction form
    229,410/500,292 = 500,292/x
  3. Step 3: Cross multiply
    229,410x = 500,292 × 500,292
  4. Step 4: Simplify right side
    229,410x = 250,292,085,264
  5. Step 5: Solve for x
    x = 250,292,085,264/229,410
  6. Step 6: Final answer
    x = 1,091,025.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.