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Finding the Third Proportional to 499,383 and 761,512.50

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Solution

The third proportional to 499,383 and 761,512.50 is: 1,161,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,383 : 761,512.50 = 761,512.50 : x
  2. Step 2: Convert to fraction form
    499,383/761,512.50 = 761,512.50/x
  3. Step 3: Cross multiply
    499,383x = 761,512.50 × 761,512.50
  4. Step 4: Simplify right side
    499,383x = 579,901,287,656.25
  5. Step 5: Solve for x
    x = 579,901,287,656.25/499,383
  6. Step 6: Final answer
    x = 1,161,235.54

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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.