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Finding the Third Proportional to 347,036.50 and 524,928.50

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Solution

The third proportional to 347,036.50 and 524,928.50 is: 794,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,036.50 : 524,928.50 = 524,928.50 : x
  2. Step 2: Convert to fraction form
    347,036.50/524,928.50 = 524,928.50/x
  3. Step 3: Cross multiply
    347,036.50x = 524,928.50 × 524,928.50
  4. Step 4: Simplify right side
    347,036.50x = 275,549,930,112.25
  5. Step 5: Solve for x
    x = 275,549,930,112.25/347,036.50
  6. Step 6: Final answer
    x = 794,008.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.