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Finding the Third Proportional to 339,549,907.50 and 727,505,253

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Solution

The third proportional to 339,549,907.50 and 727,505,253 is: 1,558,721,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,549,907.50 : 727,505,253 = 727,505,253 : x
  2. Step 2: Convert to fraction form
    339,549,907.50/727,505,253 = 727,505,253/x
  3. Step 3: Cross multiply
    339,549,907.50x = 727,505,253 × 727,505,253
  4. Step 4: Simplify right side
    339,549,907.50x = 529,263,893,142,593,984
  5. Step 5: Solve for x
    x = 529,263,893,142,593,984/339,549,907.50
  6. Step 6: Final answer
    x = 1,558,721,947.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.