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Finding the Third Proportional to 368,442 and 540,576

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Solution

The third proportional to 368,442 and 540,576 is: 793,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,442 : 540,576 = 540,576 : x
  2. Step 2: Convert to fraction form
    368,442/540,576 = 540,576/x
  3. Step 3: Cross multiply
    368,442x = 540,576 × 540,576
  4. Step 4: Simplify right side
    368,442x = 292,222,411,776
  5. Step 5: Solve for x
    x = 292,222,411,776/368,442
  6. Step 6: Final answer
    x = 793,130.02

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