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Finding the Third Proportional to 216,580.50 and 475,011

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Solution

The third proportional to 216,580.50 and 475,011 is: 1,041,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,580.50 : 475,011 = 475,011 : x
  2. Step 2: Convert to fraction form
    216,580.50/475,011 = 475,011/x
  3. Step 3: Cross multiply
    216,580.50x = 475,011 × 475,011
  4. Step 4: Simplify right side
    216,580.50x = 225,635,450,121
  5. Step 5: Solve for x
    x = 225,635,450,121/216,580.50
  6. Step 6: Final answer
    x = 1,041,808.70

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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.