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Finding the Third Proportional to 415,323 and 650,664

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Solution

The third proportional to 415,323 and 650,664 is: 1,019,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,323 : 650,664 = 650,664 : x
  2. Step 2: Convert to fraction form
    415,323/650,664 = 650,664/x
  3. Step 3: Cross multiply
    415,323x = 650,664 × 650,664
  4. Step 4: Simplify right side
    415,323x = 423,363,640,896
  5. Step 5: Solve for x
    x = 423,363,640,896/415,323
  6. Step 6: Final answer
    x = 1,019,359.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.