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Finding the Third Proportional to 357,902.93 and 740,718.42

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Solution

The third proportional to 357,902.93 and 740,718.42 is: 1,532,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,902.93 : 740,718.42 = 740,718.42 : x
  2. Step 2: Convert to fraction form
    357,902.93/740,718.42 = 740,718.42/x
  3. Step 3: Cross multiply
    357,902.93x = 740,718.42 × 740,718.42
  4. Step 4: Simplify right side
    357,902.93x = 548,663,780,504.99
  5. Step 5: Solve for x
    x = 548,663,780,504.99/357,902.93
  6. Step 6: Final answer
    x = 1,532,996.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.