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Finding the Third Proportional to 349,850 and 730,773

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Solution

The third proportional to 349,850 and 730,773 is: 1,526,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850 : 730,773 = 730,773 : x
  2. Step 2: Convert to fraction form
    349,850/730,773 = 730,773/x
  3. Step 3: Cross multiply
    349,850x = 730,773 × 730,773
  4. Step 4: Simplify right side
    349,850x = 534,029,177,529
  5. Step 5: Solve for x
    x = 534,029,177,529/349,850
  6. Step 6: Final answer
    x = 1,526,451.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.