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Finding the Third Proportional to 300,029.06 and 708,246.28

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Solution

The third proportional to 300,029.06 and 708,246.28 is: 1,671,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,029.06 : 708,246.28 = 708,246.28 : x
  2. Step 2: Convert to fraction form
    300,029.06/708,246.28 = 708,246.28/x
  3. Step 3: Cross multiply
    300,029.06x = 708,246.28 × 708,246.28
  4. Step 4: Simplify right side
    300,029.06x = 501,612,794,904.45
  5. Step 5: Solve for x
    x = 501,612,794,904.45/300,029.06
  6. Step 6: Final answer
    x = 1,671,880.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.