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Finding the Third Proportional to 304,704 and 712,080

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Solution

The third proportional to 304,704 and 712,080 is: 1,664,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,704 : 712,080 = 712,080 : x
  2. Step 2: Convert to fraction form
    304,704/712,080 = 712,080/x
  3. Step 3: Cross multiply
    304,704x = 712,080 × 712,080
  4. Step 4: Simplify right side
    304,704x = 507,057,926,400
  5. Step 5: Solve for x
    x = 507,057,926,400/304,704
  6. Step 6: Final answer
    x = 1,664,100

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.