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Finding the Third Proportional to 431,770,628.25 and 617,010,233.63

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Solution

The third proportional to 431,770,628.25 and 617,010,233.63 is: 881,721,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,770,628.25 : 617,010,233.63 = 617,010,233.63 : x
  2. Step 2: Convert to fraction form
    431,770,628.25/617,010,233.63 = 617,010,233.63/x
  3. Step 3: Cross multiply
    431,770,628.25x = 617,010,233.63 × 617,010,233.63
  4. Step 4: Simplify right side
    431,770,628.25x = 380,701,628,397,977,088
  5. Step 5: Solve for x
    x = 380,701,628,397,977,088/431,770,628.25
  6. Step 6: Final answer
    x = 881,721,922.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.