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Finding the Third Proportional to 358,968 and 777,372

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Solution

The third proportional to 358,968 and 777,372 is: 1,683,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,968 : 777,372 = 777,372 : x
  2. Step 2: Convert to fraction form
    358,968/777,372 = 777,372/x
  3. Step 3: Cross multiply
    358,968x = 777,372 × 777,372
  4. Step 4: Simplify right side
    358,968x = 604,307,226,384
  5. Step 5: Solve for x
    x = 604,307,226,384/358,968
  6. Step 6: Final answer
    x = 1,683,457.09

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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.