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Finding the Third Proportional to 342,354 and 500,852

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Solution

The third proportional to 342,354 and 500,852 is: 732,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,354 : 500,852 = 500,852 : x
  2. Step 2: Convert to fraction form
    342,354/500,852 = 500,852/x
  3. Step 3: Cross multiply
    342,354x = 500,852 × 500,852
  4. Step 4: Simplify right side
    342,354x = 250,852,725,904
  5. Step 5: Solve for x
    x = 250,852,725,904/342,354
  6. Step 6: Final answer
    x = 732,729.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.