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Finding the Third Proportional to 348,119,964 and 526,664,574

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Solution

The third proportional to 348,119,964 and 526,664,574 is: 796,781,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,119,964 : 526,664,574 = 526,664,574 : x
  2. Step 2: Convert to fraction form
    348,119,964/526,664,574 = 526,664,574/x
  3. Step 3: Cross multiply
    348,119,964x = 526,664,574 × 526,664,574
  4. Step 4: Simplify right side
    348,119,964x = 277,375,573,506,601,472
  5. Step 5: Solve for x
    x = 277,375,573,506,601,472/348,119,964
  6. Step 6: Final answer
    x = 796,781,575.87

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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.