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Finding the Third Proportional to 413,940.75 and 607,278

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Solution

The third proportional to 413,940.75 and 607,278 is: 890,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,940.75 : 607,278 = 607,278 : x
  2. Step 2: Convert to fraction form
    413,940.75/607,278 = 607,278/x
  3. Step 3: Cross multiply
    413,940.75x = 607,278 × 607,278
  4. Step 4: Simplify right side
    413,940.75x = 368,786,569,284
  5. Step 5: Solve for x
    x = 368,786,569,284/413,940.75
  6. Step 6: Final answer
    x = 890,916.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.