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Finding the Third Proportional to 295,776 and 458,838

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Solution

The third proportional to 295,776 and 458,838 is: 711,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,776 : 458,838 = 458,838 : x
  2. Step 2: Convert to fraction form
    295,776/458,838 = 458,838/x
  3. Step 3: Cross multiply
    295,776x = 458,838 × 458,838
  4. Step 4: Simplify right side
    295,776x = 210,532,310,244
  5. Step 5: Solve for x
    x = 210,532,310,244/295,776
  6. Step 6: Final answer
    x = 711,796.46

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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.