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Finding the Third Proportional to 420,768 and 591,840

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Solution

The third proportional to 420,768 and 591,840 is: 832,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,768 : 591,840 = 591,840 : x
  2. Step 2: Convert to fraction form
    420,768/591,840 = 591,840/x
  3. Step 3: Cross multiply
    420,768x = 591,840 × 591,840
  4. Step 4: Simplify right side
    420,768x = 350,274,585,600
  5. Step 5: Solve for x
    x = 350,274,585,600/420,768
  6. Step 6: Final answer
    x = 832,464.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.