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Finding the Third Proportional to 354,465 and 538,249.50

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Solution

The third proportional to 354,465 and 538,249.50 is: 817,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,465 : 538,249.50 = 538,249.50 : x
  2. Step 2: Convert to fraction form
    354,465/538,249.50 = 538,249.50/x
  3. Step 3: Cross multiply
    354,465x = 538,249.50 × 538,249.50
  4. Step 4: Simplify right side
    354,465x = 289,712,524,250.25
  5. Step 5: Solve for x
    x = 289,712,524,250.25/354,465
  6. Step 6: Final answer
    x = 817,323.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.