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Finding the Third Proportional to 305,040,739.50 and 429,564,579

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Solution

The third proportional to 305,040,739.50 and 429,564,579 is: 604,921,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,040,739.50 : 429,564,579 = 429,564,579 : x
  2. Step 2: Convert to fraction form
    305,040,739.50/429,564,579 = 429,564,579/x
  3. Step 3: Cross multiply
    305,040,739.50x = 429,564,579 × 429,564,579
  4. Step 4: Simplify right side
    305,040,739.50x = 184,525,727,531,447,232
  5. Step 5: Solve for x
    x = 184,525,727,531,447,232/305,040,739.50
  6. Step 6: Final answer
    x = 604,921,584.68

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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.