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Finding the Third Proportional to 475,472.25 and 696,139.50

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Solution

The third proportional to 475,472.25 and 696,139.50 is: 1,019,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,472.25 : 696,139.50 = 696,139.50 : x
  2. Step 2: Convert to fraction form
    475,472.25/696,139.50 = 696,139.50/x
  3. Step 3: Cross multiply
    475,472.25x = 696,139.50 × 696,139.50
  4. Step 4: Simplify right side
    475,472.25x = 484,610,203,460.25
  5. Step 5: Solve for x
    x = 484,610,203,460.25/475,472.25
  6. Step 6: Final answer
    x = 1,019,218.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.