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Finding the Third Proportional to 295,922 and 463,716

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Solution

The third proportional to 295,922 and 463,716 is: 726,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,922 : 463,716 = 463,716 : x
  2. Step 2: Convert to fraction form
    295,922/463,716 = 463,716/x
  3. Step 3: Cross multiply
    295,922x = 463,716 × 463,716
  4. Step 4: Simplify right side
    295,922x = 215,032,528,656
  5. Step 5: Solve for x
    x = 215,032,528,656/295,922
  6. Step 6: Final answer
    x = 726,652.73

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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.