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Finding the Third Proportional to 365,545 and 564,912

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Solution

The third proportional to 365,545 and 564,912 is: 873,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,545 : 564,912 = 564,912 : x
  2. Step 2: Convert to fraction form
    365,545/564,912 = 564,912/x
  3. Step 3: Cross multiply
    365,545x = 564,912 × 564,912
  4. Step 4: Simplify right side
    365,545x = 319,125,567,744
  5. Step 5: Solve for x
    x = 319,125,567,744/365,545
  6. Step 6: Final answer
    x = 873,013.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.