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Finding the Third Proportional to 333,290 and 727,546

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Solution

The third proportional to 333,290 and 727,546 is: 1,588,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,290 : 727,546 = 727,546 : x
  2. Step 2: Convert to fraction form
    333,290/727,546 = 727,546/x
  3. Step 3: Cross multiply
    333,290x = 727,546 × 727,546
  4. Step 4: Simplify right side
    333,290x = 529,323,182,116
  5. Step 5: Solve for x
    x = 529,323,182,116/333,290
  6. Step 6: Final answer
    x = 1,588,176.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.