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Finding the Third Proportional to 294,171.75 and 634,999.50

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Solution

The third proportional to 294,171.75 and 634,999.50 is: 1,370,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,171.75 : 634,999.50 = 634,999.50 : x
  2. Step 2: Convert to fraction form
    294,171.75/634,999.50 = 634,999.50/x
  3. Step 3: Cross multiply
    294,171.75x = 634,999.50 × 634,999.50
  4. Step 4: Simplify right side
    294,171.75x = 403,224,365,000.25
  5. Step 5: Solve for x
    x = 403,224,365,000.25/294,171.75
  6. Step 6: Final answer
    x = 1,370,710.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.