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Finding the Third Proportional to 473,774 and 695,973

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Solution

The third proportional to 473,774 and 695,973 is: 1,022,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,774 : 695,973 = 695,973 : x
  2. Step 2: Convert to fraction form
    473,774/695,973 = 695,973/x
  3. Step 3: Cross multiply
    473,774x = 695,973 × 695,973
  4. Step 4: Simplify right side
    473,774x = 484,378,416,729
  5. Step 5: Solve for x
    x = 484,378,416,729/473,774
  6. Step 6: Final answer
    x = 1,022,382.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.