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Finding the Third Proportional to 274,490 and 587,030

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Solution

The third proportional to 274,490 and 587,030 is: 1,255,434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,490 : 587,030 = 587,030 : x
  2. Step 2: Convert to fraction form
    274,490/587,030 = 587,030/x
  3. Step 3: Cross multiply
    274,490x = 587,030 × 587,030
  4. Step 4: Simplify right side
    274,490x = 344,604,220,900
  5. Step 5: Solve for x
    x = 344,604,220,900/274,490
  6. Step 6: Final answer
    x = 1,255,434.52

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Why These Related Problems?

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