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Finding the Third Proportional to 295,924 and 457,696

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Solution

The third proportional to 295,924 and 457,696 is: 707,903.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,924 : 457,696 = 457,696 : x
  2. Step 2: Convert to fraction form
    295,924/457,696 = 457,696/x
  3. Step 3: Cross multiply
    295,924x = 457,696 × 457,696
  4. Step 4: Simplify right side
    295,924x = 209,485,628,416
  5. Step 5: Solve for x
    x = 209,485,628,416/295,924
  6. Step 6: Final answer
    x = 707,903.48

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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.