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Finding the Third Proportional to 216,883.50 and 460,011

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Solution

The third proportional to 216,883.50 and 460,011 is: 975,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,883.50 : 460,011 = 460,011 : x
  2. Step 2: Convert to fraction form
    216,883.50/460,011 = 460,011/x
  3. Step 3: Cross multiply
    216,883.50x = 460,011 × 460,011
  4. Step 4: Simplify right side
    216,883.50x = 211,610,120,121
  5. Step 5: Solve for x
    x = 211,610,120,121/216,883.50
  6. Step 6: Final answer
    x = 975,685.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.