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Finding the Third Proportional to 604,302 and 817,817

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Solution

The third proportional to 604,302 and 817,817 is: 1,106,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,302 : 817,817 = 817,817 : x
  2. Step 2: Convert to fraction form
    604,302/817,817 = 817,817/x
  3. Step 3: Cross multiply
    604,302x = 817,817 × 817,817
  4. Step 4: Simplify right side
    604,302x = 668,824,645,489
  5. Step 5: Solve for x
    x = 668,824,645,489/604,302
  6. Step 6: Final answer
    x = 1,106,772.19

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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.