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Finding the Third Proportional to 229,392 and 504,468

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Solution

The third proportional to 229,392 and 504,468 is: 1,109,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,392 : 504,468 = 504,468 : x
  2. Step 2: Convert to fraction form
    229,392/504,468 = 504,468/x
  3. Step 3: Cross multiply
    229,392x = 504,468 × 504,468
  4. Step 4: Simplify right side
    229,392x = 254,487,963,024
  5. Step 5: Solve for x
    x = 254,487,963,024/229,392
  6. Step 6: Final answer
    x = 1,109,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.