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Finding the Third Proportional to 223,210.69 and 526,816.41

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Solution

The third proportional to 223,210.69 and 526,816.41 is: 1,243,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,210.69 : 526,816.41 = 526,816.41 : x
  2. Step 2: Convert to fraction form
    223,210.69/526,816.41 = 526,816.41/x
  3. Step 3: Cross multiply
    223,210.69x = 526,816.41 × 526,816.41
  4. Step 4: Simplify right side
    223,210.69x = 277,535,525,894.17
  5. Step 5: Solve for x
    x = 277,535,525,894.17/223,210.69
  6. Step 6: Final answer
    x = 1,243,379.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.