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Finding the Third Proportional to 697,750.50 and 1,496,459.25

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Solution

The third proportional to 697,750.50 and 1,496,459.25 is: 3,209,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,750.50 : 1,496,459.25 = 1,496,459.25 : x
  2. Step 2: Convert to fraction form
    697,750.50/1,496,459.25 = 1,496,459.25/x
  3. Step 3: Cross multiply
    697,750.50x = 1,496,459.25 × 1,496,459.25
  4. Step 4: Simplify right side
    697,750.50x = 2,239,390,286,910.56
  5. Step 5: Solve for x
    x = 2,239,390,286,910.56/697,750.50
  6. Step 6: Final answer
    x = 3,209,442.75

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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.