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Finding the Third Proportional to 432,783 and 605,313

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Solution

The third proportional to 432,783 and 605,313 is: 846,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,783 : 605,313 = 605,313 : x
  2. Step 2: Convert to fraction form
    432,783/605,313 = 605,313/x
  3. Step 3: Cross multiply
    432,783x = 605,313 × 605,313
  4. Step 4: Simplify right side
    432,783x = 366,403,827,969
  5. Step 5: Solve for x
    x = 366,403,827,969/432,783
  6. Step 6: Final answer
    x = 846,622.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.