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Finding the Third Proportional to 500,664 and 1,109,431.50

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Solution

The third proportional to 500,664 and 1,109,431.50 is: 2,458,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,664 : 1,109,431.50 = 1,109,431.50 : x
  2. Step 2: Convert to fraction form
    500,664/1,109,431.50 = 1,109,431.50/x
  3. Step 3: Cross multiply
    500,664x = 1,109,431.50 × 1,109,431.50
  4. Step 4: Simplify right side
    500,664x = 1,230,838,253,192.25
  5. Step 5: Solve for x
    x = 1,230,838,253,192.25/500,664
  6. Step 6: Final answer
    x = 2,458,411.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.