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Finding the Third Proportional to 457,911 and 673,623

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Solution

The third proportional to 457,911 and 673,623 is: 990,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,911 : 673,623 = 673,623 : x
  2. Step 2: Convert to fraction form
    457,911/673,623 = 673,623/x
  3. Step 3: Cross multiply
    457,911x = 673,623 × 673,623
  4. Step 4: Simplify right side
    457,911x = 453,767,946,129
  5. Step 5: Solve for x
    x = 453,767,946,129/457,911
  6. Step 6: Final answer
    x = 990,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.