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Finding the Third Proportional to 246,070 and 380,010

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Solution

The third proportional to 246,070 and 380,010 is: 586,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,070 : 380,010 = 380,010 : x
  2. Step 2: Convert to fraction form
    246,070/380,010 = 380,010/x
  3. Step 3: Cross multiply
    246,070x = 380,010 × 380,010
  4. Step 4: Simplify right side
    246,070x = 144,407,600,100
  5. Step 5: Solve for x
    x = 144,407,600,100/246,070
  6. Step 6: Final answer
    x = 586,855.77

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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.