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Finding the Third Proportional to 590,583 and 873,420

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Solution

The third proportional to 590,583 and 873,420 is: 1,291,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,583 : 873,420 = 873,420 : x
  2. Step 2: Convert to fraction form
    590,583/873,420 = 873,420/x
  3. Step 3: Cross multiply
    590,583x = 873,420 × 873,420
  4. Step 4: Simplify right side
    590,583x = 762,862,496,400
  5. Step 5: Solve for x
    x = 762,862,496,400/590,583
  6. Step 6: Final answer
    x = 1,291,710.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.