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Finding the Third Proportional to 341,052 and 717,456

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Solution

The third proportional to 341,052 and 717,456 is: 1,509,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,052 : 717,456 = 717,456 : x
  2. Step 2: Convert to fraction form
    341,052/717,456 = 717,456/x
  3. Step 3: Cross multiply
    341,052x = 717,456 × 717,456
  4. Step 4: Simplify right side
    341,052x = 514,743,111,936
  5. Step 5: Solve for x
    x = 514,743,111,936/341,052
  6. Step 6: Final answer
    x = 1,509,280.44

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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.