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Finding the Third Proportional to 349,494.50 and 749,964

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Solution

The third proportional to 349,494.50 and 749,964 is: 1,609,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,494.50 : 749,964 = 749,964 : x
  2. Step 2: Convert to fraction form
    349,494.50/749,964 = 749,964/x
  3. Step 3: Cross multiply
    349,494.50x = 749,964 × 749,964
  4. Step 4: Simplify right side
    349,494.50x = 562,446,001,296
  5. Step 5: Solve for x
    x = 562,446,001,296/349,494.50
  6. Step 6: Final answer
    x = 1,609,312.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.