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Finding the Third Proportional to 504,524 and 706,485

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Solution

The third proportional to 504,524 and 706,485 is: 989,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,524 : 706,485 = 706,485 : x
  2. Step 2: Convert to fraction form
    504,524/706,485 = 706,485/x
  3. Step 3: Cross multiply
    504,524x = 706,485 × 706,485
  4. Step 4: Simplify right side
    504,524x = 499,121,055,225
  5. Step 5: Solve for x
    x = 499,121,055,225/504,524
  6. Step 6: Final answer
    x = 989,291.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.