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Finding the Third Proportional to 258,803 and 565,583

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Solution

The third proportional to 258,803 and 565,583 is: 1,236,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,803 : 565,583 = 565,583 : x
  2. Step 2: Convert to fraction form
    258,803/565,583 = 565,583/x
  3. Step 3: Cross multiply
    258,803x = 565,583 × 565,583
  4. Step 4: Simplify right side
    258,803x = 319,884,129,889
  5. Step 5: Solve for x
    x = 319,884,129,889/258,803
  6. Step 6: Final answer
    x = 1,236,013.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.