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Finding the Third Proportional to 340,384 and 708,772

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Solution

The third proportional to 340,384 and 708,772 is: 1,475,855.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,384 : 708,772 = 708,772 : x
  2. Step 2: Convert to fraction form
    340,384/708,772 = 708,772/x
  3. Step 3: Cross multiply
    340,384x = 708,772 × 708,772
  4. Step 4: Simplify right side
    340,384x = 502,357,747,984
  5. Step 5: Solve for x
    x = 502,357,747,984/340,384
  6. Step 6: Final answer
    x = 1,475,855.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.