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Finding the Third Proportional to 475,826 and 695,867

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Solution

The third proportional to 475,826 and 695,867 is: 1,017,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,826 : 695,867 = 695,867 : x
  2. Step 2: Convert to fraction form
    475,826/695,867 = 695,867/x
  3. Step 3: Cross multiply
    475,826x = 695,867 × 695,867
  4. Step 4: Simplify right side
    475,826x = 484,230,881,689
  5. Step 5: Solve for x
    x = 484,230,881,689/475,826
  6. Step 6: Final answer
    x = 1,017,663.77

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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.