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Finding the Third Proportional to 358,902 and 777,252

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Solution

The third proportional to 358,902 and 777,252 is: 1,683,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,902 : 777,252 = 777,252 : x
  2. Step 2: Convert to fraction form
    358,902/777,252 = 777,252/x
  3. Step 3: Cross multiply
    358,902x = 777,252 × 777,252
  4. Step 4: Simplify right side
    358,902x = 604,120,671,504
  5. Step 5: Solve for x
    x = 604,120,671,504/358,902
  6. Step 6: Final answer
    x = 1,683,246.88

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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.