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Finding the Third Proportional to 246,948 and 380,683.50

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Solution

The third proportional to 246,948 and 380,683.50 is: 586,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,948 : 380,683.50 = 380,683.50 : x
  2. Step 2: Convert to fraction form
    246,948/380,683.50 = 380,683.50/x
  3. Step 3: Cross multiply
    246,948x = 380,683.50 × 380,683.50
  4. Step 4: Simplify right side
    246,948x = 144,919,927,172.25
  5. Step 5: Solve for x
    x = 144,919,927,172.25/246,948
  6. Step 6: Final answer
    x = 586,843.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.