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Finding the Third Proportional to 300,141,924 and 650,378,596

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Solution

The third proportional to 300,141,924 and 650,378,596 is: 1,409,307,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,141,924 : 650,378,596 = 650,378,596 : x
  2. Step 2: Convert to fraction form
    300,141,924/650,378,596 = 650,378,596/x
  3. Step 3: Cross multiply
    300,141,924x = 650,378,596 × 650,378,596
  4. Step 4: Simplify right side
    300,141,924x = 422,992,318,134,931,200
  5. Step 5: Solve for x
    x = 422,992,318,134,931,200/300,141,924
  6. Step 6: Final answer
    x = 1,409,307,678.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.