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Finding the Third Proportional to 328,542 and 703,740

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Solution

The third proportional to 328,542 and 703,740 is: 1,507,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,542 : 703,740 = 703,740 : x
  2. Step 2: Convert to fraction form
    328,542/703,740 = 703,740/x
  3. Step 3: Cross multiply
    328,542x = 703,740 × 703,740
  4. Step 4: Simplify right side
    328,542x = 495,249,987,600
  5. Step 5: Solve for x
    x = 495,249,987,600/328,542
  6. Step 6: Final answer
    x = 1,507,417.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.