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Finding the Third Proportional to 306,130 and 460,362

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Solution

The third proportional to 306,130 and 460,362 is: 692,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,130 : 460,362 = 460,362 : x
  2. Step 2: Convert to fraction form
    306,130/460,362 = 460,362/x
  3. Step 3: Cross multiply
    306,130x = 460,362 × 460,362
  4. Step 4: Simplify right side
    306,130x = 211,933,171,044
  5. Step 5: Solve for x
    x = 211,933,171,044/306,130
  6. Step 6: Final answer
    x = 692,297.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.