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Finding the Third Proportional to 346,234.50 and 531,451.13

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Solution

The third proportional to 346,234.50 and 531,451.13 is: 815,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,234.50 : 531,451.13 = 531,451.13 : x
  2. Step 2: Convert to fraction form
    346,234.50/531,451.13 = 531,451.13/x
  3. Step 3: Cross multiply
    346,234.50x = 531,451.13 × 531,451.13
  4. Step 4: Simplify right side
    346,234.50x = 282,440,298,263.77
  5. Step 5: Solve for x
    x = 282,440,298,263.77/346,234.50
  6. Step 6: Final answer
    x = 815,748.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.