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Finding the Third Proportional to 295,168 and 453,768

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Solution

The third proportional to 295,168 and 453,768 is: 697,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168 : 453,768 = 453,768 : x
  2. Step 2: Convert to fraction form
    295,168/453,768 = 453,768/x
  3. Step 3: Cross multiply
    295,168x = 453,768 × 453,768
  4. Step 4: Simplify right side
    295,168x = 205,905,397,824
  5. Step 5: Solve for x
    x = 205,905,397,824/295,168
  6. Step 6: Final answer
    x = 697,587.13

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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.