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Finding the Third Proportional to 340,581 and 722,673

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Solution

The third proportional to 340,581 and 722,673 is: 1,533,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,581 : 722,673 = 722,673 : x
  2. Step 2: Convert to fraction form
    340,581/722,673 = 722,673/x
  3. Step 3: Cross multiply
    340,581x = 722,673 × 722,673
  4. Step 4: Simplify right side
    340,581x = 522,256,264,929
  5. Step 5: Solve for x
    x = 522,256,264,929/340,581
  6. Step 6: Final answer
    x = 1,533,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.