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Finding the Third Proportional to 541,246 and 824,628

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Solution

The third proportional to 541,246 and 824,628 is: 1,256,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,246 : 824,628 = 824,628 : x
  2. Step 2: Convert to fraction form
    541,246/824,628 = 824,628/x
  3. Step 3: Cross multiply
    541,246x = 824,628 × 824,628
  4. Step 4: Simplify right side
    541,246x = 680,011,338,384
  5. Step 5: Solve for x
    x = 680,011,338,384/541,246
  6. Step 6: Final answer
    x = 1,256,381.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.