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Finding the Third Proportional to 310,005 and 438,778.50

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Solution

The third proportional to 310,005 and 438,778.50 is: 621,043.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,005 : 438,778.50 = 438,778.50 : x
  2. Step 2: Convert to fraction form
    310,005/438,778.50 = 438,778.50/x
  3. Step 3: Cross multiply
    310,005x = 438,778.50 × 438,778.50
  4. Step 4: Simplify right side
    310,005x = 192,526,572,062.25
  5. Step 5: Solve for x
    x = 192,526,572,062.25/310,005
  6. Step 6: Final answer
    x = 621,043.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.