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Finding the Third Proportional to 339,778,257.75 and 524,688,612.75

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Solution

The third proportional to 339,778,257.75 and 524,688,612.75 is: 810,228,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,778,257.75 : 524,688,612.75 = 524,688,612.75 : x
  2. Step 2: Convert to fraction form
    339,778,257.75/524,688,612.75 = 524,688,612.75/x
  3. Step 3: Cross multiply
    339,778,257.75x = 524,688,612.75 × 524,688,612.75
  4. Step 4: Simplify right side
    339,778,257.75x = 275,298,140,349,519,456
  5. Step 5: Solve for x
    x = 275,298,140,349,519,456/339,778,257.75
  6. Step 6: Final answer
    x = 810,228,830.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.