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Finding the Third Proportional to 295,725.38 and 463,296.38

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Solution

The third proportional to 295,725.38 and 463,296.38 is: 725,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,725.38 : 463,296.38 = 463,296.38 : x
  2. Step 2: Convert to fraction form
    295,725.38/463,296.38 = 463,296.38/x
  3. Step 3: Cross multiply
    295,725.38x = 463,296.38 × 463,296.38
  4. Step 4: Simplify right side
    295,725.38x = 214,643,531,088.14
  5. Step 5: Solve for x
    x = 214,643,531,088.14/295,725.38
  6. Step 6: Final answer
    x = 725,820.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.