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Finding the Third Proportional to 289,413 and 447,241.50

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Solution

The third proportional to 289,413 and 447,241.50 is: 691,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,413 : 447,241.50 = 447,241.50 : x
  2. Step 2: Convert to fraction form
    289,413/447,241.50 = 447,241.50/x
  3. Step 3: Cross multiply
    289,413x = 447,241.50 × 447,241.50
  4. Step 4: Simplify right side
    289,413x = 200,024,959,322.25
  5. Step 5: Solve for x
    x = 200,024,959,322.25/289,413
  6. Step 6: Final answer
    x = 691,140.20

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Why These Related Problems?

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