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Finding the Third Proportional to 341,255 and 742,709

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Solution

The third proportional to 341,255 and 742,709 is: 1,616,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,255 : 742,709 = 742,709 : x
  2. Step 2: Convert to fraction form
    341,255/742,709 = 742,709/x
  3. Step 3: Cross multiply
    341,255x = 742,709 × 742,709
  4. Step 4: Simplify right side
    341,255x = 551,616,658,681
  5. Step 5: Solve for x
    x = 551,616,658,681/341,255
  6. Step 6: Final answer
    x = 1,616,435.39

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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.