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Finding the Third Proportional to 351,949,946.06 and 532,454,674.50

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Solution

The third proportional to 351,949,946.06 and 532,454,674.50 is: 805,534,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,949,946.06 : 532,454,674.50 = 532,454,674.50 : x
  2. Step 2: Convert to fraction form
    351,949,946.06/532,454,674.50 = 532,454,674.50/x
  3. Step 3: Cross multiply
    351,949,946.06x = 532,454,674.50 × 532,454,674.50
  4. Step 4: Simplify right side
    351,949,946.06x = 283,507,980,396,900,960
  5. Step 5: Solve for x
    x = 283,507,980,396,900,960/351,949,946.06
  6. Step 6: Final answer
    x = 805,534,944.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.