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Finding the Third Proportional to 305,259 and 671,419.50

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Solution

The third proportional to 305,259 and 671,419.50 is: 1,476,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,259 : 671,419.50 = 671,419.50 : x
  2. Step 2: Convert to fraction form
    305,259/671,419.50 = 671,419.50/x
  3. Step 3: Cross multiply
    305,259x = 671,419.50 × 671,419.50
  4. Step 4: Simplify right side
    305,259x = 450,804,144,980.25
  5. Step 5: Solve for x
    x = 450,804,144,980.25/305,259
  6. Step 6: Final answer
    x = 1,476,792.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.