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Finding the Third Proportional to 244,316 and 530,410

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Solution

The third proportional to 244,316 and 530,410 is: 1,151,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,316 : 530,410 = 530,410 : x
  2. Step 2: Convert to fraction form
    244,316/530,410 = 530,410/x
  3. Step 3: Cross multiply
    244,316x = 530,410 × 530,410
  4. Step 4: Simplify right side
    244,316x = 281,334,768,100
  5. Step 5: Solve for x
    x = 281,334,768,100/244,316
  6. Step 6: Final answer
    x = 1,151,520.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.