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Finding the Third Proportional to 378,655.50 and 810,513

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Solution

The third proportional to 378,655.50 and 810,513 is: 1,734,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,655.50 : 810,513 = 810,513 : x
  2. Step 2: Convert to fraction form
    378,655.50/810,513 = 810,513/x
  3. Step 3: Cross multiply
    378,655.50x = 810,513 × 810,513
  4. Step 4: Simplify right side
    378,655.50x = 656,931,323,169
  5. Step 5: Solve for x
    x = 656,931,323,169/378,655.50
  6. Step 6: Final answer
    x = 1,734,905.01

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.