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Finding the Third Proportional to 358,982 and 777,397

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Solution

The third proportional to 358,982 and 777,397 is: 1,683,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,982 : 777,397 = 777,397 : x
  2. Step 2: Convert to fraction form
    358,982/777,397 = 777,397/x
  3. Step 3: Cross multiply
    358,982x = 777,397 × 777,397
  4. Step 4: Simplify right side
    358,982x = 604,346,095,609
  5. Step 5: Solve for x
    x = 604,346,095,609/358,982
  6. Step 6: Final answer
    x = 1,683,499.72

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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.