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Finding the Third Proportional to 310,000 and 438,770.50

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Solution

The third proportional to 310,000 and 438,770.50 is: 621,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,000 : 438,770.50 = 438,770.50 : x
  2. Step 2: Convert to fraction form
    310,000/438,770.50 = 438,770.50/x
  3. Step 3: Cross multiply
    310,000x = 438,770.50 × 438,770.50
  4. Step 4: Simplify right side
    310,000x = 192,519,551,670.25
  5. Step 5: Solve for x
    x = 192,519,551,670.25/310,000
  6. Step 6: Final answer
    x = 621,030.81

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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.