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Finding the Third Proportional to 349,740 and 555,635

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Solution

The third proportional to 349,740 and 555,635 is: 882,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,740 : 555,635 = 555,635 : x
  2. Step 2: Convert to fraction form
    349,740/555,635 = 555,635/x
  3. Step 3: Cross multiply
    349,740x = 555,635 × 555,635
  4. Step 4: Simplify right side
    349,740x = 308,730,253,225
  5. Step 5: Solve for x
    x = 308,730,253,225/349,740
  6. Step 6: Final answer
    x = 882,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.