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Finding the Third Proportional to 416,688 and 898,272

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Solution

The third proportional to 416,688 and 898,272 is: 1,936,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,688 : 898,272 = 898,272 : x
  2. Step 2: Convert to fraction form
    416,688/898,272 = 898,272/x
  3. Step 3: Cross multiply
    416,688x = 898,272 × 898,272
  4. Step 4: Simplify right side
    416,688x = 806,892,585,984
  5. Step 5: Solve for x
    x = 806,892,585,984/416,688
  6. Step 6: Final answer
    x = 1,936,443.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.