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Finding the Third Proportional to 342,470 and 732,467

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Solution

The third proportional to 342,470 and 732,467 is: 1,566,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,470 : 732,467 = 732,467 : x
  2. Step 2: Convert to fraction form
    342,470/732,467 = 732,467/x
  3. Step 3: Cross multiply
    342,470x = 732,467 × 732,467
  4. Step 4: Simplify right side
    342,470x = 536,507,906,089
  5. Step 5: Solve for x
    x = 536,507,906,089/342,470
  6. Step 6: Final answer
    x = 1,566,583.66

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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.