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Finding the Third Proportional to 341,998 and 742,406

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Solution

The third proportional to 341,998 and 742,406 is: 1,611,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998 : 742,406 = 742,406 : x
  2. Step 2: Convert to fraction form
    341,998/742,406 = 742,406/x
  3. Step 3: Cross multiply
    341,998x = 742,406 × 742,406
  4. Step 4: Simplify right side
    341,998x = 551,166,668,836
  5. Step 5: Solve for x
    x = 551,166,668,836/341,998
  6. Step 6: Final answer
    x = 1,611,607.87

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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.