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Finding the Third Proportional to 345,213 and 738,403.50

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Solution

The third proportional to 345,213 and 738,403.50 is: 1,579,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,213 : 738,403.50 = 738,403.50 : x
  2. Step 2: Convert to fraction form
    345,213/738,403.50 = 738,403.50/x
  3. Step 3: Cross multiply
    345,213x = 738,403.50 × 738,403.50
  4. Step 4: Simplify right side
    345,213x = 545,239,728,812.25
  5. Step 5: Solve for x
    x = 545,239,728,812.25/345,213
  6. Step 6: Final answer
    x = 1,579,429.88

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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.