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Finding the Third Proportional to 346,051.69 and 741,310.88

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Solution

The third proportional to 346,051.69 and 741,310.88 is: 1,588,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,051.69 : 741,310.88 = 741,310.88 : x
  2. Step 2: Convert to fraction form
    346,051.69/741,310.88 = 741,310.88/x
  3. Step 3: Cross multiply
    346,051.69x = 741,310.88 × 741,310.88
  4. Step 4: Simplify right side
    346,051.69x = 549,541,813,393.27
  5. Step 5: Solve for x
    x = 549,541,813,393.27/346,051.69
  6. Step 6: Final answer
    x = 1,588,033.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.