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Finding the Third Proportional to 357,670.69 and 540,151.03

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Solution

The third proportional to 357,670.69 and 540,151.03 is: 815,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,670.69 : 540,151.03 = 540,151.03 : x
  2. Step 2: Convert to fraction form
    357,670.69/540,151.03 = 540,151.03/x
  3. Step 3: Cross multiply
    357,670.69x = 540,151.03 × 540,151.03
  4. Step 4: Simplify right side
    357,670.69x = 291,763,136,560.44
  5. Step 5: Solve for x
    x = 291,763,136,560.44/357,670.69
  6. Step 6: Final answer
    x = 815,731.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.