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Finding the Third Proportional to 272,095.50 and 588,516

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Solution

The third proportional to 272,095.50 and 588,516 is: 1,272,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,095.50 : 588,516 = 588,516 : x
  2. Step 2: Convert to fraction form
    272,095.50/588,516 = 588,516/x
  3. Step 3: Cross multiply
    272,095.50x = 588,516 × 588,516
  4. Step 4: Simplify right side
    272,095.50x = 346,351,082,256
  5. Step 5: Solve for x
    x = 346,351,082,256/272,095.50
  6. Step 6: Final answer
    x = 1,272,902.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.