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Finding the Third Proportional to 330,316 and 506,126

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Solution

The third proportional to 330,316 and 506,126 is: 775,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,316 : 506,126 = 506,126 : x
  2. Step 2: Convert to fraction form
    330,316/506,126 = 506,126/x
  3. Step 3: Cross multiply
    330,316x = 506,126 × 506,126
  4. Step 4: Simplify right side
    330,316x = 256,163,527,876
  5. Step 5: Solve for x
    x = 256,163,527,876/330,316
  6. Step 6: Final answer
    x = 775,510.50

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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.