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Finding the Third Proportional to 384,827.63 and 819,483.75

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Solution

The third proportional to 384,827.63 and 819,483.75 is: 1,745,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,827.63 : 819,483.75 = 819,483.75 : x
  2. Step 2: Convert to fraction form
    384,827.63/819,483.75 = 819,483.75/x
  3. Step 3: Cross multiply
    384,827.63x = 819,483.75 × 819,483.75
  4. Step 4: Simplify right side
    384,827.63x = 671,553,616,514.06
  5. Step 5: Solve for x
    x = 671,553,616,514.06/384,827.63
  6. Step 6: Final answer
    x = 1,745,076.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.