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Finding the Third Proportional to 319,473 and 695,322

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Solution

The third proportional to 319,473 and 695,322 is: 1,513,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,473 : 695,322 = 695,322 : x
  2. Step 2: Convert to fraction form
    319,473/695,322 = 695,322/x
  3. Step 3: Cross multiply
    319,473x = 695,322 × 695,322
  4. Step 4: Simplify right side
    319,473x = 483,472,683,684
  5. Step 5: Solve for x
    x = 483,472,683,684/319,473
  6. Step 6: Final answer
    x = 1,513,344.43

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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.