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Finding the Third Proportional to 302,423 and 444,874.50

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Solution

The third proportional to 302,423 and 444,874.50 is: 654,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,423 : 444,874.50 = 444,874.50 : x
  2. Step 2: Convert to fraction form
    302,423/444,874.50 = 444,874.50/x
  3. Step 3: Cross multiply
    302,423x = 444,874.50 × 444,874.50
  4. Step 4: Simplify right side
    302,423x = 197,913,320,750.25
  5. Step 5: Solve for x
    x = 197,913,320,750.25/302,423
  6. Step 6: Final answer
    x = 654,425.49

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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.