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Finding the Third Proportional to 295,164 and 453,762

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Solution

The third proportional to 295,164 and 453,762 is: 697,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164 : 453,762 = 453,762 : x
  2. Step 2: Convert to fraction form
    295,164/453,762 = 453,762/x
  3. Step 3: Cross multiply
    295,164x = 453,762 × 453,762
  4. Step 4: Simplify right side
    295,164x = 205,899,952,644
  5. Step 5: Solve for x
    x = 205,899,952,644/295,164
  6. Step 6: Final answer
    x = 697,578.14

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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.