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Finding the Third Proportional to 295,254 and 458,055

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Solution

The third proportional to 295,254 and 458,055 is: 710,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,254 : 458,055 = 458,055 : x
  2. Step 2: Convert to fraction form
    295,254/458,055 = 458,055/x
  3. Step 3: Cross multiply
    295,254x = 458,055 × 458,055
  4. Step 4: Simplify right side
    295,254x = 209,814,383,025
  5. Step 5: Solve for x
    x = 209,814,383,025/295,254
  6. Step 6: Final answer
    x = 710,623.34

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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.