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Finding the Third Proportional to 411,223.50 and 917,000.16

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Solution

The third proportional to 411,223.50 and 917,000.16 is: 2,044,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,223.50 : 917,000.16 = 917,000.16 : x
  2. Step 2: Convert to fraction form
    411,223.50/917,000.16 = 917,000.16/x
  3. Step 3: Cross multiply
    411,223.50x = 917,000.16 × 917,000.16
  4. Step 4: Simplify right side
    411,223.50x = 840,889,286,562.52
  5. Step 5: Solve for x
    x = 840,889,286,562.52/411,223.50
  6. Step 6: Final answer
    x = 2,044,847.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.