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Finding the Third Proportional to 190,460 and 413,688

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Solution

The third proportional to 190,460 and 413,688 is: 898,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,460 : 413,688 = 413,688 : x
  2. Step 2: Convert to fraction form
    190,460/413,688 = 413,688/x
  3. Step 3: Cross multiply
    190,460x = 413,688 × 413,688
  4. Step 4: Simplify right side
    190,460x = 171,137,761,344
  5. Step 5: Solve for x
    x = 171,137,761,344/190,460
  6. Step 6: Final answer
    x = 898,549.62

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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.