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Finding the Third Proportional to 457,773 and 994,354.50

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Solution

The third proportional to 457,773 and 994,354.50 is: 2,159,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,773 : 994,354.50 = 994,354.50 : x
  2. Step 2: Convert to fraction form
    457,773/994,354.50 = 994,354.50/x
  3. Step 3: Cross multiply
    457,773x = 994,354.50 × 994,354.50
  4. Step 4: Simplify right side
    457,773x = 988,740,871,670.25
  5. Step 5: Solve for x
    x = 988,740,871,670.25/457,773
  6. Step 6: Final answer
    x = 2,159,893.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.