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Finding the Third Proportional to 368,142.47 and 540,090.28

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Solution

The third proportional to 368,142.47 and 540,090.28 is: 792,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,142.47 : 540,090.28 = 540,090.28 : x
  2. Step 2: Convert to fraction form
    368,142.47/540,090.28 = 540,090.28/x
  3. Step 3: Cross multiply
    368,142.47x = 540,090.28 × 540,090.28
  4. Step 4: Simplify right side
    368,142.47x = 291,697,511,900.70
  5. Step 5: Solve for x
    x = 291,697,511,900.70/368,142.47
  6. Step 6: Final answer
    x = 792,349.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.