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Finding the Third Proportional to 347,036 and 524,931

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Solution

The third proportional to 347,036 and 524,931 is: 794,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,036 : 524,931 = 524,931 : x
  2. Step 2: Convert to fraction form
    347,036/524,931 = 524,931/x
  3. Step 3: Cross multiply
    347,036x = 524,931 × 524,931
  4. Step 4: Simplify right side
    347,036x = 275,552,554,761
  5. Step 5: Solve for x
    x = 275,552,554,761/347,036
  6. Step 6: Final answer
    x = 794,017.21

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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.