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Finding the Third Proportional to 356,497 and 774,472

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Solution

The third proportional to 356,497 and 774,472 is: 1,682,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,497 : 774,472 = 774,472 : x
  2. Step 2: Convert to fraction form
    356,497/774,472 = 774,472/x
  3. Step 3: Cross multiply
    356,497x = 774,472 × 774,472
  4. Step 4: Simplify right side
    356,497x = 599,806,878,784
  5. Step 5: Solve for x
    x = 599,806,878,784/356,497
  6. Step 6: Final answer
    x = 1,682,501.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.