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Finding the Third Proportional to 252,818 and 540,628

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Solution

The third proportional to 252,818 and 540,628 is: 1,156,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,818 : 540,628 = 540,628 : x
  2. Step 2: Convert to fraction form
    252,818/540,628 = 540,628/x
  3. Step 3: Cross multiply
    252,818x = 540,628 × 540,628
  4. Step 4: Simplify right side
    252,818x = 292,278,634,384
  5. Step 5: Solve for x
    x = 292,278,634,384/252,818
  6. Step 6: Final answer
    x = 1,156,083.17

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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.