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Finding the Third Proportional to 431,005,888 and 657,270,080

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Solution

The third proportional to 431,005,888 and 657,270,080 is: 1,002,315,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,005,888 : 657,270,080 = 657,270,080 : x
  2. Step 2: Convert to fraction form
    431,005,888/657,270,080 = 657,270,080/x
  3. Step 3: Cross multiply
    431,005,888x = 657,270,080 × 657,270,080
  4. Step 4: Simplify right side
    431,005,888x = 432,003,958,063,206,400
  5. Step 5: Solve for x
    x = 432,003,958,063,206,400/431,005,888
  6. Step 6: Final answer
    x = 1,002,315,676.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.