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Finding the Third Proportional to 370,833 and 797,556

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Solution

The third proportional to 370,833 and 797,556 is: 1,715,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,833 : 797,556 = 797,556 : x
  2. Step 2: Convert to fraction form
    370,833/797,556 = 797,556/x
  3. Step 3: Cross multiply
    370,833x = 797,556 × 797,556
  4. Step 4: Simplify right side
    370,833x = 636,095,573,136
  5. Step 5: Solve for x
    x = 636,095,573,136/370,833
  6. Step 6: Final answer
    x = 1,715,315.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.