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Finding the Third Proportional to 243,607.50 and 569,349

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Solution

The third proportional to 243,607.50 and 569,349 is: 1,330,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,607.50 : 569,349 = 569,349 : x
  2. Step 2: Convert to fraction form
    243,607.50/569,349 = 569,349/x
  3. Step 3: Cross multiply
    243,607.50x = 569,349 × 569,349
  4. Step 4: Simplify right side
    243,607.50x = 324,158,283,801
  5. Step 5: Solve for x
    x = 324,158,283,801/243,607.50
  6. Step 6: Final answer
    x = 1,330,658.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.