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Finding the Third Proportional to 386,050 and 581,914

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Solution

The third proportional to 386,050 and 581,914 is: 877,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,050 : 581,914 = 581,914 : x
  2. Step 2: Convert to fraction form
    386,050/581,914 = 581,914/x
  3. Step 3: Cross multiply
    386,050x = 581,914 × 581,914
  4. Step 4: Simplify right side
    386,050x = 338,623,903,396
  5. Step 5: Solve for x
    x = 338,623,903,396/386,050
  6. Step 6: Final answer
    x = 877,150.38

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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.