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Finding the Third Proportional to 419,258 and 592,659

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Solution

The third proportional to 419,258 and 592,659 is: 837,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,258 : 592,659 = 592,659 : x
  2. Step 2: Convert to fraction form
    419,258/592,659 = 592,659/x
  3. Step 3: Cross multiply
    419,258x = 592,659 × 592,659
  4. Step 4: Simplify right side
    419,258x = 351,244,690,281
  5. Step 5: Solve for x
    x = 351,244,690,281/419,258
  6. Step 6: Final answer
    x = 837,776.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.