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Finding the Third Proportional to 604,296 and 817,808

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Solution

The third proportional to 604,296 and 817,808 is: 1,106,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,296 : 817,808 = 817,808 : x
  2. Step 2: Convert to fraction form
    604,296/817,808 = 817,808/x
  3. Step 3: Cross multiply
    604,296x = 817,808 × 817,808
  4. Step 4: Simplify right side
    604,296x = 668,809,924,864
  5. Step 5: Solve for x
    x = 668,809,924,864/604,296
  6. Step 6: Final answer
    x = 1,106,758.81

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.