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Finding the Third Proportional to 341,366 and 742,926

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Solution

The third proportional to 341,366 and 742,926 is: 1,616,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,366 : 742,926 = 742,926 : x
  2. Step 2: Convert to fraction form
    341,366/742,926 = 742,926/x
  3. Step 3: Cross multiply
    341,366x = 742,926 × 742,926
  4. Step 4: Simplify right side
    341,366x = 551,939,041,476
  5. Step 5: Solve for x
    x = 551,939,041,476/341,366
  6. Step 6: Final answer
    x = 1,616,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.