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Finding the Third Proportional to 293,559 and 454,543.50

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Solution

The third proportional to 293,559 and 454,543.50 is: 703,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,559 : 454,543.50 = 454,543.50 : x
  2. Step 2: Convert to fraction form
    293,559/454,543.50 = 454,543.50/x
  3. Step 3: Cross multiply
    293,559x = 454,543.50 × 454,543.50
  4. Step 4: Simplify right side
    293,559x = 206,609,793,392.25
  5. Step 5: Solve for x
    x = 206,609,793,392.25/293,559
  6. Step 6: Final answer
    x = 703,810.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.