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Finding the Third Proportional to 340,343 and 715,516

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Solution

The third proportional to 340,343 and 715,516 is: 1,504,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,343 : 715,516 = 715,516 : x
  2. Step 2: Convert to fraction form
    340,343/715,516 = 715,516/x
  3. Step 3: Cross multiply
    340,343x = 715,516 × 715,516
  4. Step 4: Simplify right side
    340,343x = 511,963,146,256
  5. Step 5: Solve for x
    x = 511,963,146,256/340,343
  6. Step 6: Final answer
    x = 1,504,256.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.