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Finding the Third Proportional to 413,515.13 and 626,508

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Solution

The third proportional to 413,515.13 and 626,508 is: 949,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,515.13 : 626,508 = 626,508 : x
  2. Step 2: Convert to fraction form
    413,515.13/626,508 = 626,508/x
  3. Step 3: Cross multiply
    413,515.13x = 626,508 × 626,508
  4. Step 4: Simplify right side
    413,515.13x = 392,512,274,064
  5. Step 5: Solve for x
    x = 392,512,274,064/413,515.13
  6. Step 6: Final answer
    x = 949,208.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.