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Finding the Third Proportional to 320,082 and 689,784

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Solution

The third proportional to 320,082 and 689,784 is: 1,486,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,082 : 689,784 = 689,784 : x
  2. Step 2: Convert to fraction form
    320,082/689,784 = 689,784/x
  3. Step 3: Cross multiply
    320,082x = 689,784 × 689,784
  4. Step 4: Simplify right side
    320,082x = 475,801,966,656
  5. Step 5: Solve for x
    x = 475,801,966,656/320,082
  6. Step 6: Final answer
    x = 1,486,500.23

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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.