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Finding the Third Proportional to 273,713 and 600,709

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Solution

The third proportional to 273,713 and 600,709 is: 1,318,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,713 : 600,709 = 600,709 : x
  2. Step 2: Convert to fraction form
    273,713/600,709 = 600,709/x
  3. Step 3: Cross multiply
    273,713x = 600,709 × 600,709
  4. Step 4: Simplify right side
    273,713x = 360,851,302,681
  5. Step 5: Solve for x
    x = 360,851,302,681/273,713
  6. Step 6: Final answer
    x = 1,318,356.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.