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Finding the Third Proportional to 344,028 and 531,594

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Solution

The third proportional to 344,028 and 531,594 is: 821,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,028 : 531,594 = 531,594 : x
  2. Step 2: Convert to fraction form
    344,028/531,594 = 531,594/x
  3. Step 3: Cross multiply
    344,028x = 531,594 × 531,594
  4. Step 4: Simplify right side
    344,028x = 282,592,180,836
  5. Step 5: Solve for x
    x = 282,592,180,836/344,028
  6. Step 6: Final answer
    x = 821,422.04

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Why These Related Problems?

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