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Finding the Third Proportional to 225,579 and 501,594

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Solution

The third proportional to 225,579 and 501,594 is: 1,115,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,579 : 501,594 = 501,594 : x
  2. Step 2: Convert to fraction form
    225,579/501,594 = 501,594/x
  3. Step 3: Cross multiply
    225,579x = 501,594 × 501,594
  4. Step 4: Simplify right side
    225,579x = 251,596,540,836
  5. Step 5: Solve for x
    x = 251,596,540,836/225,579
  6. Step 6: Final answer
    x = 1,115,336.72

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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.