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Finding the Third Proportional to 344,852 and 535,210

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Solution

The third proportional to 344,852 and 535,210 is: 830,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,852 : 535,210 = 535,210 : x
  2. Step 2: Convert to fraction form
    344,852/535,210 = 535,210/x
  3. Step 3: Cross multiply
    344,852x = 535,210 × 535,210
  4. Step 4: Simplify right side
    344,852x = 286,449,744,100
  5. Step 5: Solve for x
    x = 286,449,744,100/344,852
  6. Step 6: Final answer
    x = 830,645.45

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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.