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Finding the Third Proportional to 375,824 and 835,507

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Solution

The third proportional to 375,824 and 835,507 is: 1,857,443.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,824 : 835,507 = 835,507 : x
  2. Step 2: Convert to fraction form
    375,824/835,507 = 835,507/x
  3. Step 3: Cross multiply
    375,824x = 835,507 × 835,507
  4. Step 4: Simplify right side
    375,824x = 698,071,947,049
  5. Step 5: Solve for x
    x = 698,071,947,049/375,824
  6. Step 6: Final answer
    x = 1,857,443.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.