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Finding the Third Proportional to 319,010 and 695,972

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Solution

The third proportional to 319,010 and 695,972 is: 1,518,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,010 : 695,972 = 695,972 : x
  2. Step 2: Convert to fraction form
    319,010/695,972 = 695,972/x
  3. Step 3: Cross multiply
    319,010x = 695,972 × 695,972
  4. Step 4: Simplify right side
    319,010x = 484,377,024,784
  5. Step 5: Solve for x
    x = 484,377,024,784/319,010
  6. Step 6: Final answer
    x = 1,518,375.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.