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Finding the Third Proportional to 225,992 and 501,547

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Solution

The third proportional to 225,992 and 501,547 is: 1,113,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,992 : 501,547 = 501,547 : x
  2. Step 2: Convert to fraction form
    225,992/501,547 = 501,547/x
  3. Step 3: Cross multiply
    225,992x = 501,547 × 501,547
  4. Step 4: Simplify right side
    225,992x = 251,549,393,209
  5. Step 5: Solve for x
    x = 251,549,393,209/225,992
  6. Step 6: Final answer
    x = 1,113,089.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.