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Finding the Third Proportional to 252,450 and 540,370

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Solution

The third proportional to 252,450 and 540,370 is: 1,156,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,450 : 540,370 = 540,370 : x
  2. Step 2: Convert to fraction form
    252,450/540,370 = 540,370/x
  3. Step 3: Cross multiply
    252,450x = 540,370 × 540,370
  4. Step 4: Simplify right side
    252,450x = 291,999,736,900
  5. Step 5: Solve for x
    x = 291,999,736,900/252,450
  6. Step 6: Final answer
    x = 1,156,663.64

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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.