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Finding the Third Proportional to 343,266.19 and 717,904.69

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Solution

The third proportional to 343,266.19 and 717,904.69 is: 1,501,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,266.19 : 717,904.69 = 717,904.69 : x
  2. Step 2: Convert to fraction form
    343,266.19/717,904.69 = 717,904.69/x
  3. Step 3: Cross multiply
    343,266.19x = 717,904.69 × 717,904.69
  4. Step 4: Simplify right side
    343,266.19x = 515,387,140,334.47
  5. Step 5: Solve for x
    x = 515,387,140,334.47/343,266.19
  6. Step 6: Final answer
    x = 1,501,421.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.