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Finding the Third Proportional to 295,770 and 458,829

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Solution

The third proportional to 295,770 and 458,829 is: 711,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,770 : 458,829 = 458,829 : x
  2. Step 2: Convert to fraction form
    295,770/458,829 = 458,829/x
  3. Step 3: Cross multiply
    295,770x = 458,829 × 458,829
  4. Step 4: Simplify right side
    295,770x = 210,524,051,241
  5. Step 5: Solve for x
    x = 210,524,051,241/295,770
  6. Step 6: Final answer
    x = 711,782.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.