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Finding the Third Proportional to 352,740 and 540,504

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Solution

The third proportional to 352,740 and 540,504 is: 828,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,740 : 540,504 = 540,504 : x
  2. Step 2: Convert to fraction form
    352,740/540,504 = 540,504/x
  3. Step 3: Cross multiply
    352,740x = 540,504 × 540,504
  4. Step 4: Simplify right side
    352,740x = 292,144,574,016
  5. Step 5: Solve for x
    x = 292,144,574,016/352,740
  6. Step 6: Final answer
    x = 828,215.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.