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Finding the Third Proportional to 389,114 and 525,927

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Solution

The third proportional to 389,114 and 525,927 is: 710,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,114 : 525,927 = 525,927 : x
  2. Step 2: Convert to fraction form
    389,114/525,927 = 525,927/x
  3. Step 3: Cross multiply
    389,114x = 525,927 × 525,927
  4. Step 4: Simplify right side
    389,114x = 276,599,209,329
  5. Step 5: Solve for x
    x = 276,599,209,329/389,114
  6. Step 6: Final answer
    x = 710,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.