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Finding the Third Proportional to 302,216 and 408,946

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Solution

The third proportional to 302,216 and 408,946 is: 553,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,216 : 408,946 = 408,946 : x
  2. Step 2: Convert to fraction form
    302,216/408,946 = 408,946/x
  3. Step 3: Cross multiply
    302,216x = 408,946 × 408,946
  4. Step 4: Simplify right side
    302,216x = 167,236,830,916
  5. Step 5: Solve for x
    x = 167,236,830,916/302,216
  6. Step 6: Final answer
    x = 553,368.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.