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Finding the Third Proportional to 504,625,620 and 737,780,298

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Solution

The third proportional to 504,625,620 and 737,780,298 is: 1,078,660,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,625,620 : 737,780,298 = 737,780,298 : x
  2. Step 2: Convert to fraction form
    504,625,620/737,780,298 = 737,780,298/x
  3. Step 3: Cross multiply
    504,625,620x = 737,780,298 × 737,780,298
  4. Step 4: Simplify right side
    504,625,620x = 544,319,768,116,968,832
  5. Step 5: Solve for x
    x = 544,319,768,116,968,832/504,625,620
  6. Step 6: Final answer
    x = 1,078,660,588.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.