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Finding the Third Proportional to 373,864 and 565,258

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Solution

The third proportional to 373,864 and 565,258 is: 854,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,864 : 565,258 = 565,258 : x
  2. Step 2: Convert to fraction form
    373,864/565,258 = 565,258/x
  3. Step 3: Cross multiply
    373,864x = 565,258 × 565,258
  4. Step 4: Simplify right side
    373,864x = 319,516,606,564
  5. Step 5: Solve for x
    x = 319,516,606,564/373,864
  6. Step 6: Final answer
    x = 854,633.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.