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Finding the Third Proportional to 343,862.72 and 746,802.28

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Solution

The third proportional to 343,862.72 and 746,802.28 is: 1,621,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,862.72 : 746,802.28 = 746,802.28 : x
  2. Step 2: Convert to fraction form
    343,862.72/746,802.28 = 746,802.28/x
  3. Step 3: Cross multiply
    343,862.72x = 746,802.28 × 746,802.28
  4. Step 4: Simplify right side
    343,862.72x = 557,713,647,280.20
  5. Step 5: Solve for x
    x = 557,713,647,280.20/343,862.72
  6. Step 6: Final answer
    x = 1,621,907.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.