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Finding the Third Proportional to 342,336 and 708,648

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Solution

The third proportional to 342,336 and 708,648 is: 1,466,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,336 : 708,648 = 708,648 : x
  2. Step 2: Convert to fraction form
    342,336/708,648 = 708,648/x
  3. Step 3: Cross multiply
    342,336x = 708,648 × 708,648
  4. Step 4: Simplify right side
    342,336x = 502,181,987,904
  5. Step 5: Solve for x
    x = 502,181,987,904/342,336
  6. Step 6: Final answer
    x = 1,466,927.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.