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Finding the Third Proportional to 229,907 and 502,582

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Solution

The third proportional to 229,907 and 502,582 is: 1,098,655.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,907 : 502,582 = 502,582 : x
  2. Step 2: Convert to fraction form
    229,907/502,582 = 502,582/x
  3. Step 3: Cross multiply
    229,907x = 502,582 × 502,582
  4. Step 4: Simplify right side
    229,907x = 252,588,666,724
  5. Step 5: Solve for x
    x = 252,588,666,724/229,907
  6. Step 6: Final answer
    x = 1,098,655.83

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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.