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Finding the Third Proportional to 723,342.50 and 1,546,335

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Solution

The third proportional to 723,342.50 and 1,546,335 is: 3,305,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,342.50 : 1,546,335 = 1,546,335 : x
  2. Step 2: Convert to fraction form
    723,342.50/1,546,335 = 1,546,335/x
  3. Step 3: Cross multiply
    723,342.50x = 1,546,335 × 1,546,335
  4. Step 4: Simplify right side
    723,342.50x = 2,391,151,932,225
  5. Step 5: Solve for x
    x = 2,391,151,932,225/723,342.50
  6. Step 6: Final answer
    x = 3,305,698.11

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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.