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Finding the Third Proportional to 344,516 and 730,732

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Solution

The third proportional to 344,516 and 730,732 is: 1,549,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,516 : 730,732 = 730,732 : x
  2. Step 2: Convert to fraction form
    344,516/730,732 = 730,732/x
  3. Step 3: Cross multiply
    344,516x = 730,732 × 730,732
  4. Step 4: Simplify right side
    344,516x = 533,969,255,824
  5. Step 5: Solve for x
    x = 533,969,255,824/344,516
  6. Step 6: Final answer
    x = 1,549,911.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.