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Finding the Third Proportional to 295,550 and 445,514

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Solution

The third proportional to 295,550 and 445,514 is: 671,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,550 : 445,514 = 445,514 : x
  2. Step 2: Convert to fraction form
    295,550/445,514 = 445,514/x
  3. Step 3: Cross multiply
    295,550x = 445,514 × 445,514
  4. Step 4: Simplify right side
    295,550x = 198,482,724,196
  5. Step 5: Solve for x
    x = 198,482,724,196/295,550
  6. Step 6: Final answer
    x = 671,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.