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Finding the Third Proportional to 386,012 and 596,516

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Solution

The third proportional to 386,012 and 596,516 is: 921,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,012 : 596,516 = 596,516 : x
  2. Step 2: Convert to fraction form
    386,012/596,516 = 596,516/x
  3. Step 3: Cross multiply
    386,012x = 596,516 × 596,516
  4. Step 4: Simplify right side
    386,012x = 355,831,338,256
  5. Step 5: Solve for x
    x = 355,831,338,256/386,012
  6. Step 6: Final answer
    x = 921,814.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.