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Finding the Third Proportional to 520,047 and 730,194.75

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Solution

The third proportional to 520,047 and 730,194.75 is: 1,025,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047 : 730,194.75 = 730,194.75 : x
  2. Step 2: Convert to fraction form
    520,047/730,194.75 = 730,194.75/x
  3. Step 3: Cross multiply
    520,047x = 730,194.75 × 730,194.75
  4. Step 4: Simplify right side
    520,047x = 533,184,372,927.56
  5. Step 5: Solve for x
    x = 533,184,372,927.56/520,047
  6. Step 6: Final answer
    x = 1,025,261.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.