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Finding the Third Proportional to 413,239.22 and 626,097.09

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Solution

The third proportional to 413,239.22 and 626,097.09 is: 948,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,239.22 : 626,097.09 = 626,097.09 : x
  2. Step 2: Convert to fraction form
    413,239.22/626,097.09 = 626,097.09/x
  3. Step 3: Cross multiply
    413,239.22x = 626,097.09 × 626,097.09
  4. Step 4: Simplify right side
    413,239.22x = 391,997,570,802.20
  5. Step 5: Solve for x
    x = 391,997,570,802.20/413,239.22
  6. Step 6: Final answer
    x = 948,597.21

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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.