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Finding the Third Proportional to 332,205 and 779,904

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Solution

The third proportional to 332,205 and 779,904 is: 1,830,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,205 : 779,904 = 779,904 : x
  2. Step 2: Convert to fraction form
    332,205/779,904 = 779,904/x
  3. Step 3: Cross multiply
    332,205x = 779,904 × 779,904
  4. Step 4: Simplify right side
    332,205x = 608,250,249,216
  5. Step 5: Solve for x
    x = 608,250,249,216/332,205
  6. Step 6: Final answer
    x = 1,830,948.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.