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Finding the Third Proportional to 284,559.75 and 609,683.63

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Solution

The third proportional to 284,559.75 and 609,683.63 is: 1,306,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,559.75 : 609,683.63 = 609,683.63 : x
  2. Step 2: Convert to fraction form
    284,559.75/609,683.63 = 609,683.63/x
  3. Step 3: Cross multiply
    284,559.75x = 609,683.63 × 609,683.63
  4. Step 4: Simplify right side
    284,559.75x = 371,714,122,593.14
  5. Step 5: Solve for x
    x = 371,714,122,593.14/284,559.75
  6. Step 6: Final answer
    x = 1,306,277.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.