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Finding the Third Proportional to 284,124.75 and 431,371.13

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Solution

The third proportional to 284,124.75 and 431,371.13 is: 654,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,124.75 : 431,371.13 = 431,371.13 : x
  2. Step 2: Convert to fraction form
    284,124.75/431,371.13 = 431,371.13/x
  3. Step 3: Cross multiply
    284,124.75x = 431,371.13 × 431,371.13
  4. Step 4: Simplify right side
    284,124.75x = 186,081,047,483.77
  5. Step 5: Solve for x
    x = 186,081,047,483.77/284,124.75
  6. Step 6: Final answer
    x = 654,927.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.