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Finding the Third Proportional to 193,490 and 413,465

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Solution

The third proportional to 193,490 and 413,465 is: 883,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,490 : 413,465 = 413,465 : x
  2. Step 2: Convert to fraction form
    193,490/413,465 = 413,465/x
  3. Step 3: Cross multiply
    193,490x = 413,465 × 413,465
  4. Step 4: Simplify right side
    193,490x = 170,953,306,225
  5. Step 5: Solve for x
    x = 170,953,306,225/193,490
  6. Step 6: Final answer
    x = 883,525.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.