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Finding the Third Proportional to 368,292 and 540,774

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Solution

The third proportional to 368,292 and 540,774 is: 794,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,292 : 540,774 = 540,774 : x
  2. Step 2: Convert to fraction form
    368,292/540,774 = 540,774/x
  3. Step 3: Cross multiply
    368,292x = 540,774 × 540,774
  4. Step 4: Simplify right side
    368,292x = 292,436,519,076
  5. Step 5: Solve for x
    x = 292,436,519,076/368,292
  6. Step 6: Final answer
    x = 794,034.40

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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.