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Finding the Third Proportional to 430,532 and 591,004

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Solution

The third proportional to 430,532 and 591,004 is: 811,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,532 : 591,004 = 591,004 : x
  2. Step 2: Convert to fraction form
    430,532/591,004 = 591,004/x
  3. Step 3: Cross multiply
    430,532x = 591,004 × 591,004
  4. Step 4: Simplify right side
    430,532x = 349,285,728,016
  5. Step 5: Solve for x
    x = 349,285,728,016/430,532
  6. Step 6: Final answer
    x = 811,288.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.