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Finding the Third Proportional to 330,276 and 506,075

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Solution

The third proportional to 330,276 and 506,075 is: 775,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,276 : 506,075 = 506,075 : x
  2. Step 2: Convert to fraction form
    330,276/506,075 = 506,075/x
  3. Step 3: Cross multiply
    330,276x = 506,075 × 506,075
  4. Step 4: Simplify right side
    330,276x = 256,111,905,625
  5. Step 5: Solve for x
    x = 256,111,905,625/330,276
  6. Step 6: Final answer
    x = 775,448.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.