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Finding the Third Proportional to 307,152 and 669,978

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Solution

The third proportional to 307,152 and 669,978 is: 1,461,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,152 : 669,978 = 669,978 : x
  2. Step 2: Convert to fraction form
    307,152/669,978 = 669,978/x
  3. Step 3: Cross multiply
    307,152x = 669,978 × 669,978
  4. Step 4: Simplify right side
    307,152x = 448,870,520,484
  5. Step 5: Solve for x
    x = 448,870,520,484/307,152
  6. Step 6: Final answer
    x = 1,461,395.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.