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Finding the Third Proportional to 459,747 and 690,241.50

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Solution

The third proportional to 459,747 and 690,241.50 is: 1,036,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,747 : 690,241.50 = 690,241.50 : x
  2. Step 2: Convert to fraction form
    459,747/690,241.50 = 690,241.50/x
  3. Step 3: Cross multiply
    459,747x = 690,241.50 × 690,241.50
  4. Step 4: Simplify right side
    459,747x = 476,433,328,322.25
  5. Step 5: Solve for x
    x = 476,433,328,322.25/459,747
  6. Step 6: Final answer
    x = 1,036,294.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.