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Finding the Third Proportional to 604,300 and 817,814

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Solution

The third proportional to 604,300 and 817,814 is: 1,106,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,300 : 817,814 = 817,814 : x
  2. Step 2: Convert to fraction form
    604,300/817,814 = 817,814/x
  3. Step 3: Cross multiply
    604,300x = 817,814 × 817,814
  4. Step 4: Simplify right side
    604,300x = 668,819,738,596
  5. Step 5: Solve for x
    x = 668,819,738,596/604,300
  6. Step 6: Final answer
    x = 1,106,767.73

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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.