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Finding the Third Proportional to 454,903.50 and 706,341

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Solution

The third proportional to 454,903.50 and 706,341 is: 1,096,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,903.50 : 706,341 = 706,341 : x
  2. Step 2: Convert to fraction form
    454,903.50/706,341 = 706,341/x
  3. Step 3: Cross multiply
    454,903.50x = 706,341 × 706,341
  4. Step 4: Simplify right side
    454,903.50x = 498,917,608,281
  5. Step 5: Solve for x
    x = 498,917,608,281/454,903.50
  6. Step 6: Final answer
    x = 1,096,754.82

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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.