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Finding the Third Proportional to 293,850 and 436,454

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Solution

The third proportional to 293,850 and 436,454 is: 648,263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,850 : 436,454 = 436,454 : x
  2. Step 2: Convert to fraction form
    293,850/436,454 = 436,454/x
  3. Step 3: Cross multiply
    293,850x = 436,454 × 436,454
  4. Step 4: Simplify right side
    293,850x = 190,492,094,116
  5. Step 5: Solve for x
    x = 190,492,094,116/293,850
  6. Step 6: Final answer
    x = 648,263.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.