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Finding the Third Proportional to 416,088 and 616,356

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Solution

The third proportional to 416,088 and 616,356 is: 913,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,088 : 616,356 = 616,356 : x
  2. Step 2: Convert to fraction form
    416,088/616,356 = 616,356/x
  3. Step 3: Cross multiply
    416,088x = 616,356 × 616,356
  4. Step 4: Simplify right side
    416,088x = 379,894,718,736
  5. Step 5: Solve for x
    x = 379,894,718,736/416,088
  6. Step 6: Final answer
    x = 913,015.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.