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Finding the Third Proportional to 454,252.50 and 705,345.75

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Solution

The third proportional to 454,252.50 and 705,345.75 is: 1,095,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,252.50 : 705,345.75 = 705,345.75 : x
  2. Step 2: Convert to fraction form
    454,252.50/705,345.75 = 705,345.75/x
  3. Step 3: Cross multiply
    454,252.50x = 705,345.75 × 705,345.75
  4. Step 4: Simplify right side
    454,252.50x = 497,512,627,043.06
  5. Step 5: Solve for x
    x = 497,512,627,043.06/454,252.50
  6. Step 6: Final answer
    x = 1,095,233.66

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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.