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Finding the Third Proportional to 322,964 and 708,136

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Solution

The third proportional to 322,964 and 708,136 is: 1,552,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,964 : 708,136 = 708,136 : x
  2. Step 2: Convert to fraction form
    322,964/708,136 = 708,136/x
  3. Step 3: Cross multiply
    322,964x = 708,136 × 708,136
  4. Step 4: Simplify right side
    322,964x = 501,456,594,496
  5. Step 5: Solve for x
    x = 501,456,594,496/322,964
  6. Step 6: Final answer
    x = 1,552,670.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.