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Finding the Third Proportional to 360,801 and 779,417

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Solution

The third proportional to 360,801 and 779,417 is: 1,683,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,801 : 779,417 = 779,417 : x
  2. Step 2: Convert to fraction form
    360,801/779,417 = 779,417/x
  3. Step 3: Cross multiply
    360,801x = 779,417 × 779,417
  4. Step 4: Simplify right side
    360,801x = 607,490,859,889
  5. Step 5: Solve for x
    x = 607,490,859,889/360,801
  6. Step 6: Final answer
    x = 1,683,728.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.