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Finding the Third Proportional to 375,055 and 562,623

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Solution

The third proportional to 375,055 and 562,623 is: 843,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055 : 562,623 = 562,623 : x
  2. Step 2: Convert to fraction form
    375,055/562,623 = 562,623/x
  3. Step 3: Cross multiply
    375,055x = 562,623 × 562,623
  4. Step 4: Simplify right side
    375,055x = 316,544,640,129
  5. Step 5: Solve for x
    x = 316,544,640,129/375,055
  6. Step 6: Final answer
    x = 843,995.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.