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Finding the Third Proportional to 341,266.50 and 742,731.19

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Solution

The third proportional to 341,266.50 and 742,731.19 is: 1,616,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,266.50 : 742,731.19 = 742,731.19 : x
  2. Step 2: Convert to fraction form
    341,266.50/742,731.19 = 742,731.19/x
  3. Step 3: Cross multiply
    341,266.50x = 742,731.19 × 742,731.19
  4. Step 4: Simplify right side
    341,266.50x = 551,649,616,885.16
  5. Step 5: Solve for x
    x = 551,649,616,885.16/341,266.50
  6. Step 6: Final answer
    x = 1,616,477.49

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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.