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Finding the Third Proportional to 447,688 and 675,844

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Solution

The third proportional to 447,688 and 675,844 is: 1,020,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688 : 675,844 = 675,844 : x
  2. Step 2: Convert to fraction form
    447,688/675,844 = 675,844/x
  3. Step 3: Cross multiply
    447,688x = 675,844 × 675,844
  4. Step 4: Simplify right side
    447,688x = 456,765,112,336
  5. Step 5: Solve for x
    x = 456,765,112,336/447,688
  6. Step 6: Final answer
    x = 1,020,275.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.