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Finding the Third Proportional to 341,275.50 and 742,749

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Solution

The third proportional to 341,275.50 and 742,749 is: 1,616,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,275.50 : 742,749 = 742,749 : x
  2. Step 2: Convert to fraction form
    341,275.50/742,749 = 742,749/x
  3. Step 3: Cross multiply
    341,275.50x = 742,749 × 742,749
  4. Step 4: Simplify right side
    341,275.50x = 551,676,077,001
  5. Step 5: Solve for x
    x = 551,676,077,001/341,275.50
  6. Step 6: Final answer
    x = 1,616,512.40

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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.