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Finding the Third Proportional to 274,070 and 610,423

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Solution

The third proportional to 274,070 and 610,423 is: 1,359,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,070 : 610,423 = 610,423 : x
  2. Step 2: Convert to fraction form
    274,070/610,423 = 610,423/x
  3. Step 3: Cross multiply
    274,070x = 610,423 × 610,423
  4. Step 4: Simplify right side
    274,070x = 372,616,238,929
  5. Step 5: Solve for x
    x = 372,616,238,929/274,070
  6. Step 6: Final answer
    x = 1,359,565.95

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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.