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Finding the Third Proportional to 248,480 and 545,773

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Solution

The third proportional to 248,480 and 545,773 is: 1,198,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,480 : 545,773 = 545,773 : x
  2. Step 2: Convert to fraction form
    248,480/545,773 = 545,773/x
  3. Step 3: Cross multiply
    248,480x = 545,773 × 545,773
  4. Step 4: Simplify right side
    248,480x = 297,868,167,529
  5. Step 5: Solve for x
    x = 297,868,167,529/248,480
  6. Step 6: Final answer
    x = 1,198,761.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.