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Finding the Third Proportional to 437,985 and 943,438.50

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Solution

The third proportional to 437,985 and 943,438.50 is: 2,032,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,985 : 943,438.50 = 943,438.50 : x
  2. Step 2: Convert to fraction form
    437,985/943,438.50 = 943,438.50/x
  3. Step 3: Cross multiply
    437,985x = 943,438.50 × 943,438.50
  4. Step 4: Simplify right side
    437,985x = 890,076,203,282.25
  5. Step 5: Solve for x
    x = 890,076,203,282.25/437,985
  6. Step 6: Final answer
    x = 2,032,207.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.