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Finding the Third Proportional to 385,010 and 927,534

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Solution

The third proportional to 385,010 and 927,534 is: 2,234,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,010 : 927,534 = 927,534 : x
  2. Step 2: Convert to fraction form
    385,010/927,534 = 927,534/x
  3. Step 3: Cross multiply
    385,010x = 927,534 × 927,534
  4. Step 4: Simplify right side
    385,010x = 860,319,321,156
  5. Step 5: Solve for x
    x = 860,319,321,156/385,010
  6. Step 6: Final answer
    x = 2,234,537.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.