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Finding the Third Proportional to 325,635.19 and 697,987.13

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Solution

The third proportional to 325,635.19 and 697,987.13 is: 1,496,109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,635.19 : 697,987.13 = 697,987.13 : x
  2. Step 2: Convert to fraction form
    325,635.19/697,987.13 = 697,987.13/x
  3. Step 3: Cross multiply
    325,635.19x = 697,987.13 × 697,987.13
  4. Step 4: Simplify right side
    325,635.19x = 487,186,026,665.77
  5. Step 5: Solve for x
    x = 487,186,026,665.77/325,635.19
  6. Step 6: Final answer
    x = 1,496,109.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.