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Finding the Third Proportional to 475,774 and 695,797

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Solution

The third proportional to 475,774 and 695,797 is: 1,017,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,774 : 695,797 = 695,797 : x
  2. Step 2: Convert to fraction form
    475,774/695,797 = 695,797/x
  3. Step 3: Cross multiply
    475,774x = 695,797 × 695,797
  4. Step 4: Simplify right side
    475,774x = 484,133,465,209
  5. Step 5: Solve for x
    x = 484,133,465,209/475,774
  6. Step 6: Final answer
    x = 1,017,570.24

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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.