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Finding the Third Proportional to 386,362.13 and 567,965.81

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Solution

The third proportional to 386,362.13 and 567,965.81 is: 834,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,362.13 : 567,965.81 = 567,965.81 : x
  2. Step 2: Convert to fraction form
    386,362.13/567,965.81 = 567,965.81/x
  3. Step 3: Cross multiply
    386,362.13x = 567,965.81 × 567,965.81
  4. Step 4: Simplify right side
    386,362.13x = 322,585,164,168.79
  5. Step 5: Solve for x
    x = 322,585,164,168.79/386,362.13
  6. Step 6: Final answer
    x = 834,929.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.