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Finding the Third Proportional to 329,368 and 708,668

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Solution

The third proportional to 329,368 and 708,668 is: 1,524,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,368 : 708,668 = 708,668 : x
  2. Step 2: Convert to fraction form
    329,368/708,668 = 708,668/x
  3. Step 3: Cross multiply
    329,368x = 708,668 × 708,668
  4. Step 4: Simplify right side
    329,368x = 502,210,334,224
  5. Step 5: Solve for x
    x = 502,210,334,224/329,368
  6. Step 6: Final answer
    x = 1,524,769.66

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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.