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Finding the Third Proportional to 329,155 and 708,259

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Solution

The third proportional to 329,155 and 708,259 is: 1,523,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,155 : 708,259 = 708,259 : x
  2. Step 2: Convert to fraction form
    329,155/708,259 = 708,259/x
  3. Step 3: Cross multiply
    329,155x = 708,259 × 708,259
  4. Step 4: Simplify right side
    329,155x = 501,630,811,081
  5. Step 5: Solve for x
    x = 501,630,811,081/329,155
  6. Step 6: Final answer
    x = 1,523,995.72

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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.