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Finding the Third Proportional to 538,388 and 834,050

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Solution

The third proportional to 538,388 and 834,050 is: 1,292,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,388 : 834,050 = 834,050 : x
  2. Step 2: Convert to fraction form
    538,388/834,050 = 834,050/x
  3. Step 3: Cross multiply
    538,388x = 834,050 × 834,050
  4. Step 4: Simplify right side
    538,388x = 695,639,402,500
  5. Step 5: Solve for x
    x = 695,639,402,500/538,388
  6. Step 6: Final answer
    x = 1,292,078.21

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