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Finding the Third Proportional to 302,420 and 660,184

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Solution

The third proportional to 302,420 and 660,184 is: 1,441,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,420 : 660,184 = 660,184 : x
  2. Step 2: Convert to fraction form
    302,420/660,184 = 660,184/x
  3. Step 3: Cross multiply
    302,420x = 660,184 × 660,184
  4. Step 4: Simplify right side
    302,420x = 435,842,913,856
  5. Step 5: Solve for x
    x = 435,842,913,856/302,420
  6. Step 6: Final answer
    x = 1,441,184.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.