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Finding the Third Proportional to 327,282,650 and 508,168,707

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Solution

The third proportional to 327,282,650 and 508,168,707 is: 789,028,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,282,650 : 508,168,707 = 508,168,707 : x
  2. Step 2: Convert to fraction form
    327,282,650/508,168,707 = 508,168,707/x
  3. Step 3: Cross multiply
    327,282,650x = 508,168,707 × 508,168,707
  4. Step 4: Simplify right side
    327,282,650x = 258,235,434,774,051,840
  5. Step 5: Solve for x
    x = 258,235,434,774,051,840/327,282,650
  6. Step 6: Final answer
    x = 789,028,794.45

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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.