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Finding the Third Proportional to 243,959.50 and 528,644

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Solution

The third proportional to 243,959.50 and 528,644 is: 1,145,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,959.50 : 528,644 = 528,644 : x
  2. Step 2: Convert to fraction form
    243,959.50/528,644 = 528,644/x
  3. Step 3: Cross multiply
    243,959.50x = 528,644 × 528,644
  4. Step 4: Simplify right side
    243,959.50x = 279,464,478,736
  5. Step 5: Solve for x
    x = 279,464,478,736/243,959.50
  6. Step 6: Final answer
    x = 1,145,536.36

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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.