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Finding the Third Proportional to 347,036 and 524,929

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Solution

The third proportional to 347,036 and 524,929 is: 794,011.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,036 : 524,929 = 524,929 : x
  2. Step 2: Convert to fraction form
    347,036/524,929 = 524,929/x
  3. Step 3: Cross multiply
    347,036x = 524,929 × 524,929
  4. Step 4: Simplify right side
    347,036x = 275,550,455,041
  5. Step 5: Solve for x
    x = 275,550,455,041/347,036
  6. Step 6: Final answer
    x = 794,011.15

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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.