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Finding the Third Proportional to 299,730 and 641,971.50

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Solution

The third proportional to 299,730 and 641,971.50 is: 1,374,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730 : 641,971.50 = 641,971.50 : x
  2. Step 2: Convert to fraction form
    299,730/641,971.50 = 641,971.50/x
  3. Step 3: Cross multiply
    299,730x = 641,971.50 × 641,971.50
  4. Step 4: Simplify right side
    299,730x = 412,127,406,812.25
  5. Step 5: Solve for x
    x = 412,127,406,812.25/299,730
  6. Step 6: Final answer
    x = 1,374,995.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.