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Finding the Third Proportional to 302,697 and 625,078.50

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Solution

The third proportional to 302,697 and 625,078.50 is: 1,290,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,697 : 625,078.50 = 625,078.50 : x
  2. Step 2: Convert to fraction form
    302,697/625,078.50 = 625,078.50/x
  3. Step 3: Cross multiply
    302,697x = 625,078.50 × 625,078.50
  4. Step 4: Simplify right side
    302,697x = 390,723,131,162.25
  5. Step 5: Solve for x
    x = 390,723,131,162.25/302,697
  6. Step 6: Final answer
    x = 1,290,806.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.