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Finding the Third Proportional to 306,502 and 460,168

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Solution

The third proportional to 306,502 and 460,168 is: 690,875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502 : 460,168 = 460,168 : x
  2. Step 2: Convert to fraction form
    306,502/460,168 = 460,168/x
  3. Step 3: Cross multiply
    306,502x = 460,168 × 460,168
  4. Step 4: Simplify right side
    306,502x = 211,754,588,224
  5. Step 5: Solve for x
    x = 211,754,588,224/306,502
  6. Step 6: Final answer
    x = 690,875.06

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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.