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Finding the Third Proportional to 226,435.50 and 484,582.50

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Solution

The third proportional to 226,435.50 and 484,582.50 is: 1,037,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,435.50 : 484,582.50 = 484,582.50 : x
  2. Step 2: Convert to fraction form
    226,435.50/484,582.50 = 484,582.50/x
  3. Step 3: Cross multiply
    226,435.50x = 484,582.50 × 484,582.50
  4. Step 4: Simplify right side
    226,435.50x = 234,820,199,306.25
  5. Step 5: Solve for x
    x = 234,820,199,306.25/226,435.50
  6. Step 6: Final answer
    x = 1,037,029.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.