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Finding the Third Proportional to 306,506 and 460,173

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Solution

The third proportional to 306,506 and 460,173 is: 690,881.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,506 : 460,173 = 460,173 : x
  2. Step 2: Convert to fraction form
    306,506/460,173 = 460,173/x
  3. Step 3: Cross multiply
    306,506x = 460,173 × 460,173
  4. Step 4: Simplify right side
    306,506x = 211,759,189,929
  5. Step 5: Solve for x
    x = 211,759,189,929/306,506
  6. Step 6: Final answer
    x = 690,881.06

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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.