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Finding the Third Proportional to 319,536 and 695,448

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Solution

The third proportional to 319,536 and 695,448 is: 1,513,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,536 : 695,448 = 695,448 : x
  2. Step 2: Convert to fraction form
    319,536/695,448 = 695,448/x
  3. Step 3: Cross multiply
    319,536x = 695,448 × 695,448
  4. Step 4: Simplify right side
    319,536x = 483,647,920,704
  5. Step 5: Solve for x
    x = 483,647,920,704/319,536
  6. Step 6: Final answer
    x = 1,513,594.46

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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.