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Finding the Third Proportional to 375,284 and 561,054

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Solution

The third proportional to 375,284 and 561,054 is: 838,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,284 : 561,054 = 561,054 : x
  2. Step 2: Convert to fraction form
    375,284/561,054 = 561,054/x
  3. Step 3: Cross multiply
    375,284x = 561,054 × 561,054
  4. Step 4: Simplify right side
    375,284x = 314,781,590,916
  5. Step 5: Solve for x
    x = 314,781,590,916/375,284
  6. Step 6: Final answer
    x = 838,782.34

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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.