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Finding the Third Proportional to 319,005 and 695,964

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Solution

The third proportional to 319,005 and 695,964 is: 1,518,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,005 : 695,964 = 695,964 : x
  2. Step 2: Convert to fraction form
    319,005/695,964 = 695,964/x
  3. Step 3: Cross multiply
    319,005x = 695,964 × 695,964
  4. Step 4: Simplify right side
    319,005x = 484,365,889,296
  5. Step 5: Solve for x
    x = 484,365,889,296/319,005
  6. Step 6: Final answer
    x = 1,518,364.57

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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.