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Finding the Third Proportional to 341,788 and 747,904

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Solution

The third proportional to 341,788 and 747,904 is: 1,636,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,788 : 747,904 = 747,904 : x
  2. Step 2: Convert to fraction form
    341,788/747,904 = 747,904/x
  3. Step 3: Cross multiply
    341,788x = 747,904 × 747,904
  4. Step 4: Simplify right side
    341,788x = 559,360,393,216
  5. Step 5: Solve for x
    x = 559,360,393,216/341,788
  6. Step 6: Final answer
    x = 1,636,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.