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Finding the Third Proportional to 384,323 and 610,699

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Solution

The third proportional to 384,323 and 610,699 is: 970,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,323 : 610,699 = 610,699 : x
  2. Step 2: Convert to fraction form
    384,323/610,699 = 610,699/x
  3. Step 3: Cross multiply
    384,323x = 610,699 × 610,699
  4. Step 4: Simplify right side
    384,323x = 372,953,268,601
  5. Step 5: Solve for x
    x = 372,953,268,601/384,323
  6. Step 6: Final answer
    x = 970,416.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.