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Finding the Third Proportional to 465,084 and 697,632

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Solution

The third proportional to 465,084 and 697,632 is: 1,046,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,084 : 697,632 = 697,632 : x
  2. Step 2: Convert to fraction form
    465,084/697,632 = 697,632/x
  3. Step 3: Cross multiply
    465,084x = 697,632 × 697,632
  4. Step 4: Simplify right side
    465,084x = 486,690,407,424
  5. Step 5: Solve for x
    x = 486,690,407,424/465,084
  6. Step 6: Final answer
    x = 1,046,457.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.