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Finding the Third Proportional to 295,266 and 458,073

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Solution

The third proportional to 295,266 and 458,073 is: 710,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,266 : 458,073 = 458,073 : x
  2. Step 2: Convert to fraction form
    295,266/458,073 = 458,073/x
  3. Step 3: Cross multiply
    295,266x = 458,073 × 458,073
  4. Step 4: Simplify right side
    295,266x = 209,830,873,329
  5. Step 5: Solve for x
    x = 209,830,873,329/295,266
  6. Step 6: Final answer
    x = 710,650.31

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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.