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Finding the Third Proportional to 567,480 and 1,235,760

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Solution

The third proportional to 567,480 and 1,235,760 is: 2,691,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,480 : 1,235,760 = 1,235,760 : x
  2. Step 2: Convert to fraction form
    567,480/1,235,760 = 1,235,760/x
  3. Step 3: Cross multiply
    567,480x = 1,235,760 × 1,235,760
  4. Step 4: Simplify right side
    567,480x = 1,527,102,777,600
  5. Step 5: Solve for x
    x = 1,527,102,777,600/567,480
  6. Step 6: Final answer
    x = 2,691,024.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.