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Finding the Third Proportional to 338,292 and 734,904

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Solution

The third proportional to 338,292 and 734,904 is: 1,596,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,292 : 734,904 = 734,904 : x
  2. Step 2: Convert to fraction form
    338,292/734,904 = 734,904/x
  3. Step 3: Cross multiply
    338,292x = 734,904 × 734,904
  4. Step 4: Simplify right side
    338,292x = 540,083,889,216
  5. Step 5: Solve for x
    x = 540,083,889,216/338,292
  6. Step 6: Final answer
    x = 1,596,502.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.