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Finding the Third Proportional to 319,588 and 695,552

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Solution

The third proportional to 319,588 and 695,552 is: 1,513,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,588 : 695,552 = 695,552 : x
  2. Step 2: Convert to fraction form
    319,588/695,552 = 695,552/x
  3. Step 3: Cross multiply
    319,588x = 695,552 × 695,552
  4. Step 4: Simplify right side
    319,588x = 483,792,584,704
  5. Step 5: Solve for x
    x = 483,792,584,704/319,588
  6. Step 6: Final answer
    x = 1,513,800.85

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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.