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Finding the Third Proportional to 297,027 and 459,612.50

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Solution

The third proportional to 297,027 and 459,612.50 is: 711,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,027 : 459,612.50 = 459,612.50 : x
  2. Step 2: Convert to fraction form
    297,027/459,612.50 = 459,612.50/x
  3. Step 3: Cross multiply
    297,027x = 459,612.50 × 459,612.50
  4. Step 4: Simplify right side
    297,027x = 211,243,650,156.25
  5. Step 5: Solve for x
    x = 211,243,650,156.25/297,027
  6. Step 6: Final answer
    x = 711,193.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.