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Finding the Third Proportional to 553,704 and 791,796

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Solution

The third proportional to 553,704 and 791,796 is: 1,132,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,704 : 791,796 = 791,796 : x
  2. Step 2: Convert to fraction form
    553,704/791,796 = 791,796/x
  3. Step 3: Cross multiply
    553,704x = 791,796 × 791,796
  4. Step 4: Simplify right side
    553,704x = 626,940,905,616
  5. Step 5: Solve for x
    x = 626,940,905,616/553,704
  6. Step 6: Final answer
    x = 1,132,267.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.