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Finding the Third Proportional to 319,001,679 and 477,970,348.50

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Solution

The third proportional to 319,001,679 and 477,970,348.50 is: 716,158,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,001,679 : 477,970,348.50 = 477,970,348.50 : x
  2. Step 2: Convert to fraction form
    319,001,679/477,970,348.50 = 477,970,348.50/x
  3. Step 3: Cross multiply
    319,001,679x = 477,970,348.50 × 477,970,348.50
  4. Step 4: Simplify right side
    319,001,679x = 228,455,654,045,211,456
  5. Step 5: Solve for x
    x = 228,455,654,045,211,456/319,001,679
  6. Step 6: Final answer
    x = 716,158,155.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.