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Finding the Third Proportional to 339,778,239.75 and 524,688,580.13

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Solution

The third proportional to 339,778,239.75 and 524,688,580.13 is: 810,228,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,778,239.75 : 524,688,580.13 = 524,688,580.13 : x
  2. Step 2: Convert to fraction form
    339,778,239.75/524,688,580.13 = 524,688,580.13/x
  3. Step 3: Cross multiply
    339,778,239.75x = 524,688,580.13 × 524,688,580.13
  4. Step 4: Simplify right side
    339,778,239.75x = 275,298,106,113,588,544
  5. Step 5: Solve for x
    x = 275,298,106,113,588,544/339,778,239.75
  6. Step 6: Final answer
    x = 810,228,772.50

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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.