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Finding the Third Proportional to 329,553 and 708,786

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Solution

The third proportional to 329,553 and 708,786 is: 1,524,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,553 : 708,786 = 708,786 : x
  2. Step 2: Convert to fraction form
    329,553/708,786 = 708,786/x
  3. Step 3: Cross multiply
    329,553x = 708,786 × 708,786
  4. Step 4: Simplify right side
    329,553x = 502,377,593,796
  5. Step 5: Solve for x
    x = 502,377,593,796/329,553
  6. Step 6: Final answer
    x = 1,524,421.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.