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Finding the Third Proportional to 405,487,857 and 628,153,930.50

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Solution

The third proportional to 405,487,857 and 628,153,930.50 is: 973,092,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,487,857 : 628,153,930.50 = 628,153,930.50 : x
  2. Step 2: Convert to fraction form
    405,487,857/628,153,930.50 = 628,153,930.50/x
  3. Step 3: Cross multiply
    405,487,857x = 628,153,930.50 × 628,153,930.50
  4. Step 4: Simplify right side
    405,487,857x = 394,577,360,402,598,848
  5. Step 5: Solve for x
    x = 394,577,360,402,598,848/405,487,857
  6. Step 6: Final answer
    x = 973,092,914.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.