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Finding the Third Proportional to 241,516 and 529,688

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Solution

The third proportional to 241,516 and 529,688 is: 1,161,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,516 : 529,688 = 529,688 : x
  2. Step 2: Convert to fraction form
    241,516/529,688 = 529,688/x
  3. Step 3: Cross multiply
    241,516x = 529,688 × 529,688
  4. Step 4: Simplify right side
    241,516x = 280,569,377,344
  5. Step 5: Solve for x
    x = 280,569,377,344/241,516
  6. Step 6: Final answer
    x = 1,161,700.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.