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Finding the Third Proportional to 295,206 and 458,361

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Solution

The third proportional to 295,206 and 458,361 is: 711,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,206 : 458,361 = 458,361 : x
  2. Step 2: Convert to fraction form
    295,206/458,361 = 458,361/x
  3. Step 3: Cross multiply
    295,206x = 458,361 × 458,361
  4. Step 4: Simplify right side
    295,206x = 210,094,806,321
  5. Step 5: Solve for x
    x = 210,094,806,321/295,206
  6. Step 6: Final answer
    x = 711,688.81

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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.