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Finding the Third Proportional to 333,776 and 695,176

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Solution

The third proportional to 333,776 and 695,176 is: 1,447,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,776 : 695,176 = 695,176 : x
  2. Step 2: Convert to fraction form
    333,776/695,176 = 695,176/x
  3. Step 3: Cross multiply
    333,776x = 695,176 × 695,176
  4. Step 4: Simplify right side
    333,776x = 483,269,670,976
  5. Step 5: Solve for x
    x = 483,269,670,976/333,776
  6. Step 6: Final answer
    x = 1,447,886.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.