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Finding the Third Proportional to 420,810 and 591,899

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Solution

The third proportional to 420,810 and 591,899 is: 832,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,810 : 591,899 = 591,899 : x
  2. Step 2: Convert to fraction form
    420,810/591,899 = 591,899/x
  3. Step 3: Cross multiply
    420,810x = 591,899 × 591,899
  4. Step 4: Simplify right side
    420,810x = 350,344,426,201
  5. Step 5: Solve for x
    x = 350,344,426,201/420,810
  6. Step 6: Final answer
    x = 832,547.77

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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.