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Finding the Third Proportional to 386,386 and 562,035

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Solution

The third proportional to 386,386 and 562,035 is: 817,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,386 : 562,035 = 562,035 : x
  2. Step 2: Convert to fraction form
    386,386/562,035 = 562,035/x
  3. Step 3: Cross multiply
    386,386x = 562,035 × 562,035
  4. Step 4: Simplify right side
    386,386x = 315,883,341,225
  5. Step 5: Solve for x
    x = 315,883,341,225/386,386
  6. Step 6: Final answer
    x = 817,533.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.