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Finding the Third Proportional to 264,584 and 578,844

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Solution

The third proportional to 264,584 and 578,844 is: 1,266,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,584 : 578,844 = 578,844 : x
  2. Step 2: Convert to fraction form
    264,584/578,844 = 578,844/x
  3. Step 3: Cross multiply
    264,584x = 578,844 × 578,844
  4. Step 4: Simplify right side
    264,584x = 335,060,376,336
  5. Step 5: Solve for x
    x = 335,060,376,336/264,584
  6. Step 6: Final answer
    x = 1,266,366.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.