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Finding the Third Proportional to 341,062 and 717,476

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Solution

The third proportional to 341,062 and 717,476 is: 1,509,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,062 : 717,476 = 717,476 : x
  2. Step 2: Convert to fraction form
    341,062/717,476 = 717,476/x
  3. Step 3: Cross multiply
    341,062x = 717,476 × 717,476
  4. Step 4: Simplify right side
    341,062x = 514,771,810,576
  5. Step 5: Solve for x
    x = 514,771,810,576/341,062
  6. Step 6: Final answer
    x = 1,509,320.33

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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.