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Finding the Third Proportional to 345,718.50 and 754,476

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Solution

The third proportional to 345,718.50 and 754,476 is: 1,646,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,718.50 : 754,476 = 754,476 : x
  2. Step 2: Convert to fraction form
    345,718.50/754,476 = 754,476/x
  3. Step 3: Cross multiply
    345,718.50x = 754,476 × 754,476
  4. Step 4: Simplify right side
    345,718.50x = 569,234,034,576
  5. Step 5: Solve for x
    x = 569,234,034,576/345,718.50
  6. Step 6: Final answer
    x = 1,646,524.66

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