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Finding the Third Proportional to 333,774 and 695,160

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Solution

The third proportional to 333,774 and 695,160 is: 1,447,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,774 : 695,160 = 695,160 : x
  2. Step 2: Convert to fraction form
    333,774/695,160 = 695,160/x
  3. Step 3: Cross multiply
    333,774x = 695,160 × 695,160
  4. Step 4: Simplify right side
    333,774x = 483,247,425,600
  5. Step 5: Solve for x
    x = 483,247,425,600/333,774
  6. Step 6: Final answer
    x = 1,447,828.25

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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.