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Finding the Third Proportional to 302,605 and 455,213

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Solution

The third proportional to 302,605 and 455,213 is: 684,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,605 : 455,213 = 455,213 : x
  2. Step 2: Convert to fraction form
    302,605/455,213 = 455,213/x
  3. Step 3: Cross multiply
    302,605x = 455,213 × 455,213
  4. Step 4: Simplify right side
    302,605x = 207,218,875,369
  5. Step 5: Solve for x
    x = 207,218,875,369/302,605
  6. Step 6: Final answer
    x = 684,783.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.