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Finding the Third Proportional to 504,439,307 and 710,052,158

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Solution

The third proportional to 504,439,307 and 710,052,158 is: 999,474,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,439,307 : 710,052,158 = 710,052,158 : x
  2. Step 2: Convert to fraction form
    504,439,307/710,052,158 = 710,052,158/x
  3. Step 3: Cross multiply
    504,439,307x = 710,052,158 × 710,052,158
  4. Step 4: Simplify right side
    504,439,307x = 504,174,067,080,456,960
  5. Step 5: Solve for x
    x = 504,174,067,080,456,960/504,439,307
  6. Step 6: Final answer
    x = 999,474,188.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.