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Finding the Third Proportional to 370,860,480 and 772,239,744

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Solution

The third proportional to 370,860,480 and 772,239,744 is: 1,608,028,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,860,480 : 772,239,744 = 772,239,744 : x
  2. Step 2: Convert to fraction form
    370,860,480/772,239,744 = 772,239,744/x
  3. Step 3: Cross multiply
    370,860,480x = 772,239,744 × 772,239,744
  4. Step 4: Simplify right side
    370,860,480x = 596,354,222,213,185,536
  5. Step 5: Solve for x
    x = 596,354,222,213,185,536/370,860,480
  6. Step 6: Final answer
    x = 1,608,028,502.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.