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Finding the Third Proportional to 344,796 and 535,237.50

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Solution

The third proportional to 344,796 and 535,237.50 is: 830,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,796 : 535,237.50 = 535,237.50 : x
  2. Step 2: Convert to fraction form
    344,796/535,237.50 = 535,237.50/x
  3. Step 3: Cross multiply
    344,796x = 535,237.50 × 535,237.50
  4. Step 4: Simplify right side
    344,796x = 286,479,181,406.25
  5. Step 5: Solve for x
    x = 286,479,181,406.25/344,796
  6. Step 6: Final answer
    x = 830,865.73

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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.