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Finding the Third Proportional to 243,999 and 528,727

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Solution

The third proportional to 243,999 and 528,727 is: 1,145,710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,999 : 528,727 = 528,727 : x
  2. Step 2: Convert to fraction form
    243,999/528,727 = 528,727/x
  3. Step 3: Cross multiply
    243,999x = 528,727 × 528,727
  4. Step 4: Simplify right side
    243,999x = 279,552,240,529
  5. Step 5: Solve for x
    x = 279,552,240,529/243,999
  6. Step 6: Final answer
    x = 1,145,710.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.