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Finding the Third Proportional to 274,071 and 610,426

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Solution

The third proportional to 274,071 and 610,426 is: 1,359,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,071 : 610,426 = 610,426 : x
  2. Step 2: Convert to fraction form
    274,071/610,426 = 610,426/x
  3. Step 3: Cross multiply
    274,071x = 610,426 × 610,426
  4. Step 4: Simplify right side
    274,071x = 372,619,901,476
  5. Step 5: Solve for x
    x = 372,619,901,476/274,071
  6. Step 6: Final answer
    x = 1,359,574.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.