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Finding the Third Proportional to 301,623 and 466,605

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Solution

The third proportional to 301,623 and 466,605 is: 721,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,623 : 466,605 = 466,605 : x
  2. Step 2: Convert to fraction form
    301,623/466,605 = 466,605/x
  3. Step 3: Cross multiply
    301,623x = 466,605 × 466,605
  4. Step 4: Simplify right side
    301,623x = 217,720,226,025
  5. Step 5: Solve for x
    x = 217,720,226,025/301,623
  6. Step 6: Final answer
    x = 721,828.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.