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Finding the Third Proportional to 349,302 and 763,984.50

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Solution

The third proportional to 349,302 and 763,984.50 is: 1,670,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,302 : 763,984.50 = 763,984.50 : x
  2. Step 2: Convert to fraction form
    349,302/763,984.50 = 763,984.50/x
  3. Step 3: Cross multiply
    349,302x = 763,984.50 × 763,984.50
  4. Step 4: Simplify right side
    349,302x = 583,672,316,240.25
  5. Step 5: Solve for x
    x = 583,672,316,240.25/349,302
  6. Step 6: Final answer
    x = 1,670,967.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.