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Finding the Third Proportional to 296,211 and 458,788.50

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Solution

The third proportional to 296,211 and 458,788.50 is: 710,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,211 : 458,788.50 = 458,788.50 : x
  2. Step 2: Convert to fraction form
    296,211/458,788.50 = 458,788.50/x
  3. Step 3: Cross multiply
    296,211x = 458,788.50 × 458,788.50
  4. Step 4: Simplify right side
    296,211x = 210,486,887,732.25
  5. Step 5: Solve for x
    x = 210,486,887,732.25/296,211
  6. Step 6: Final answer
    x = 710,597.81

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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.