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Finding the Third Proportional to 526,426 and 836,796

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Solution

The third proportional to 526,426 and 836,796 is: 1,330,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,426 : 836,796 = 836,796 : x
  2. Step 2: Convert to fraction form
    526,426/836,796 = 836,796/x
  3. Step 3: Cross multiply
    526,426x = 836,796 × 836,796
  4. Step 4: Simplify right side
    526,426x = 700,227,545,616
  5. Step 5: Solve for x
    x = 700,227,545,616/526,426
  6. Step 6: Final answer
    x = 1,330,153.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.