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Finding the Third Proportional to 359.02 and 740.53

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Solution

The third proportional to 359.02 and 740.53 is: 1,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.02 : 740.53 = 740.53 : x
  2. Step 2: Convert to fraction form
    359.02/740.53 = 740.53/x
  3. Step 3: Cross multiply
    359.02x = 740.53 × 740.53
  4. Step 4: Simplify right side
    359.02x = 548,386.53
  5. Step 5: Solve for x
    x = 548,386.53/359.02
  6. Step 6: Final answer
    x = 1,527.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.