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Finding the Third Proportional to 284,153 and 621,819

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Solution

The third proportional to 284,153 and 621,819 is: 1,360,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,153 : 621,819 = 621,819 : x
  2. Step 2: Convert to fraction form
    284,153/621,819 = 621,819/x
  3. Step 3: Cross multiply
    284,153x = 621,819 × 621,819
  4. Step 4: Simplify right side
    284,153x = 386,658,868,761
  5. Step 5: Solve for x
    x = 386,658,868,761/284,153
  6. Step 6: Final answer
    x = 1,360,741.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.