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Finding the Third Proportional to 340,984 and 717,324

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Solution

The third proportional to 340,984 and 717,324 is: 1,509,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,984 : 717,324 = 717,324 : x
  2. Step 2: Convert to fraction form
    340,984/717,324 = 717,324/x
  3. Step 3: Cross multiply
    340,984x = 717,324 × 717,324
  4. Step 4: Simplify right side
    340,984x = 514,553,720,976
  5. Step 5: Solve for x
    x = 514,553,720,976/340,984
  6. Step 6: Final answer
    x = 1,509,026.00

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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.