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Finding the Third Proportional to 384,477.75 and 842,996.25

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Solution

The third proportional to 384,477.75 and 842,996.25 is: 1,848,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,477.75 : 842,996.25 = 842,996.25 : x
  2. Step 2: Convert to fraction form
    384,477.75/842,996.25 = 842,996.25/x
  3. Step 3: Cross multiply
    384,477.75x = 842,996.25 × 842,996.25
  4. Step 4: Simplify right side
    384,477.75x = 710,642,677,514.06
  5. Step 5: Solve for x
    x = 710,642,677,514.06/384,477.75
  6. Step 6: Final answer
    x = 1,848,332.39

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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.