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Finding the Third Proportional to 295,080 and 453,852

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Solution

The third proportional to 295,080 and 453,852 is: 698,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,080 : 453,852 = 453,852 : x
  2. Step 2: Convert to fraction form
    295,080/453,852 = 453,852/x
  3. Step 3: Cross multiply
    295,080x = 453,852 × 453,852
  4. Step 4: Simplify right side
    295,080x = 205,981,637,904
  5. Step 5: Solve for x
    x = 205,981,637,904/295,080
  6. Step 6: Final answer
    x = 698,053.54

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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.