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Finding the Third Proportional to 302,103 and 423,488.25

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Solution

The third proportional to 302,103 and 423,488.25 is: 593,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103 : 423,488.25 = 423,488.25 : x
  2. Step 2: Convert to fraction form
    302,103/423,488.25 = 423,488.25/x
  3. Step 3: Cross multiply
    302,103x = 423,488.25 × 423,488.25
  4. Step 4: Simplify right side
    302,103x = 179,342,297,888.06
  5. Step 5: Solve for x
    x = 179,342,297,888.06/302,103
  6. Step 6: Final answer
    x = 593,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.