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Finding the Third Proportional to 504,576 and 758,983.50

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Solution

The third proportional to 504,576 and 758,983.50 is: 1,141,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,576 : 758,983.50 = 758,983.50 : x
  2. Step 2: Convert to fraction form
    504,576/758,983.50 = 758,983.50/x
  3. Step 3: Cross multiply
    504,576x = 758,983.50 × 758,983.50
  4. Step 4: Simplify right side
    504,576x = 576,055,953,272.25
  5. Step 5: Solve for x
    x = 576,055,953,272.25/504,576
  6. Step 6: Final answer
    x = 1,141,663.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.