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Finding the Third Proportional to 323,300 and 698,224

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Solution

The third proportional to 323,300 and 698,224 is: 1,507,939.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,300 : 698,224 = 698,224 : x
  2. Step 2: Convert to fraction form
    323,300/698,224 = 698,224/x
  3. Step 3: Cross multiply
    323,300x = 698,224 × 698,224
  4. Step 4: Simplify right side
    323,300x = 487,516,754,176
  5. Step 5: Solve for x
    x = 487,516,754,176/323,300
  6. Step 6: Final answer
    x = 1,507,939.23

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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.