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Finding the Third Proportional to 325,581 and 697,885.50

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Solution

The third proportional to 325,581 and 697,885.50 is: 1,495,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,581 : 697,885.50 = 697,885.50 : x
  2. Step 2: Convert to fraction form
    325,581/697,885.50 = 697,885.50/x
  3. Step 3: Cross multiply
    325,581x = 697,885.50 × 697,885.50
  4. Step 4: Simplify right side
    325,581x = 487,044,171,110.25
  5. Step 5: Solve for x
    x = 487,044,171,110.25/325,581
  6. Step 6: Final answer
    x = 1,495,923.20

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