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Finding the Third Proportional to 322,166 and 697,428

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Solution

The third proportional to 322,166 and 697,428 is: 1,509,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,166 : 697,428 = 697,428 : x
  2. Step 2: Convert to fraction form
    322,166/697,428 = 697,428/x
  3. Step 3: Cross multiply
    322,166x = 697,428 × 697,428
  4. Step 4: Simplify right side
    322,166x = 486,405,815,184
  5. Step 5: Solve for x
    x = 486,405,815,184/322,166
  6. Step 6: Final answer
    x = 1,509,798.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.