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Finding the Third Proportional to 367,064 and 538,465

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Solution

The third proportional to 367,064 and 538,465 is: 789,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,064 : 538,465 = 538,465 : x
  2. Step 2: Convert to fraction form
    367,064/538,465 = 538,465/x
  3. Step 3: Cross multiply
    367,064x = 538,465 × 538,465
  4. Step 4: Simplify right side
    367,064x = 289,944,556,225
  5. Step 5: Solve for x
    x = 289,944,556,225/367,064
  6. Step 6: Final answer
    x = 789,901.91

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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.