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Finding the Third Proportional to 410,520 and 895,344

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Solution

The third proportional to 410,520 and 895,344 is: 1,952,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,520 : 895,344 = 895,344 : x
  2. Step 2: Convert to fraction form
    410,520/895,344 = 895,344/x
  3. Step 3: Cross multiply
    410,520x = 895,344 × 895,344
  4. Step 4: Simplify right side
    410,520x = 801,640,878,336
  5. Step 5: Solve for x
    x = 801,640,878,336/410,520
  6. Step 6: Final answer
    x = 1,952,745.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.