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Finding the Third Proportional to 364,095 and 546,138

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Solution

The third proportional to 364,095 and 546,138 is: 819,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,095 : 546,138 = 546,138 : x
  2. Step 2: Convert to fraction form
    364,095/546,138 = 546,138/x
  3. Step 3: Cross multiply
    364,095x = 546,138 × 546,138
  4. Step 4: Simplify right side
    364,095x = 298,266,715,044
  5. Step 5: Solve for x
    x = 298,266,715,044/364,095
  6. Step 6: Final answer
    x = 819,200.25

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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.