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Finding the Third Proportional to 454,818 and 706,209.75

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Solution

The third proportional to 454,818 and 706,209.75 is: 1,096,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,818 : 706,209.75 = 706,209.75 : x
  2. Step 2: Convert to fraction form
    454,818/706,209.75 = 706,209.75/x
  3. Step 3: Cross multiply
    454,818x = 706,209.75 × 706,209.75
  4. Step 4: Simplify right side
    454,818x = 498,732,210,995.06
  5. Step 5: Solve for x
    x = 498,732,210,995.06/454,818
  6. Step 6: Final answer
    x = 1,096,553.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.