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Finding the Third Proportional to 335,346 and 720,630

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Solution

The third proportional to 335,346 and 720,630 is: 1,548,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,346 : 720,630 = 720,630 : x
  2. Step 2: Convert to fraction form
    335,346/720,630 = 720,630/x
  3. Step 3: Cross multiply
    335,346x = 720,630 × 720,630
  4. Step 4: Simplify right side
    335,346x = 519,307,596,900
  5. Step 5: Solve for x
    x = 519,307,596,900/335,346
  6. Step 6: Final answer
    x = 1,548,572.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.