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Finding the Third Proportional to 329,740 and 710,668

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Solution

The third proportional to 329,740 and 710,668 is: 1,531,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,740 : 710,668 = 710,668 : x
  2. Step 2: Convert to fraction form
    329,740/710,668 = 710,668/x
  3. Step 3: Cross multiply
    329,740x = 710,668 × 710,668
  4. Step 4: Simplify right side
    329,740x = 505,049,006,224
  5. Step 5: Solve for x
    x = 505,049,006,224/329,740
  6. Step 6: Final answer
    x = 1,531,658.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.