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Finding the Third Proportional to 302,116.50 and 423,510

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Solution

The third proportional to 302,116.50 and 423,510 is: 593,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,116.50 : 423,510 = 423,510 : x
  2. Step 2: Convert to fraction form
    302,116.50/423,510 = 423,510/x
  3. Step 3: Cross multiply
    302,116.50x = 423,510 × 423,510
  4. Step 4: Simplify right side
    302,116.50x = 179,360,720,100
  5. Step 5: Solve for x
    x = 179,360,720,100/302,116.50
  6. Step 6: Final answer
    x = 593,680.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.