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Finding the Third Proportional to 229,250.25 and 502,787.25

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Solution

The third proportional to 229,250.25 and 502,787.25 is: 1,102,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,250.25 : 502,787.25 = 502,787.25 : x
  2. Step 2: Convert to fraction form
    229,250.25/502,787.25 = 502,787.25/x
  3. Step 3: Cross multiply
    229,250.25x = 502,787.25 × 502,787.25
  4. Step 4: Simplify right side
    229,250.25x = 252,795,018,762.56
  5. Step 5: Solve for x
    x = 252,795,018,762.56/229,250.25
  6. Step 6: Final answer
    x = 1,102,703.35

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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.