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Finding the Third Proportional to 364,078 and 546,117

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Solution

The third proportional to 364,078 and 546,117 is: 819,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,078 : 546,117 = 546,117 : x
  2. Step 2: Convert to fraction form
    364,078/546,117 = 546,117/x
  3. Step 3: Cross multiply
    364,078x = 546,117 × 546,117
  4. Step 4: Simplify right side
    364,078x = 298,243,777,689
  5. Step 5: Solve for x
    x = 298,243,777,689/364,078
  6. Step 6: Final answer
    x = 819,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.