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Finding the Third Proportional to 295,905 and 457,668

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Solution

The third proportional to 295,905 and 457,668 is: 707,862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,905 : 457,668 = 457,668 : x
  2. Step 2: Convert to fraction form
    295,905/457,668 = 457,668/x
  3. Step 3: Cross multiply
    295,905x = 457,668 × 457,668
  4. Step 4: Simplify right side
    295,905x = 209,459,998,224
  5. Step 5: Solve for x
    x = 209,459,998,224/295,905
  6. Step 6: Final answer
    x = 707,862.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.