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Finding the Third Proportional to 295,025.44 and 455,569.88

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Solution

The third proportional to 295,025.44 and 455,569.88 is: 703,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,025.44 : 455,569.88 = 455,569.88 : x
  2. Step 2: Convert to fraction form
    295,025.44/455,569.88 = 455,569.88/x
  3. Step 3: Cross multiply
    295,025.44x = 455,569.88 × 455,569.88
  4. Step 4: Simplify right side
    295,025.44x = 207,543,911,007.52
  5. Step 5: Solve for x
    x = 207,543,911,007.52/295,025.44
  6. Step 6: Final answer
    x = 703,478.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.