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Finding the Third Proportional to 245,595 and 536,844

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Solution

The third proportional to 245,595 and 536,844 is: 1,173,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,595 : 536,844 = 536,844 : x
  2. Step 2: Convert to fraction form
    245,595/536,844 = 536,844/x
  3. Step 3: Cross multiply
    245,595x = 536,844 × 536,844
  4. Step 4: Simplify right side
    245,595x = 288,201,480,336
  5. Step 5: Solve for x
    x = 288,201,480,336/245,595
  6. Step 6: Final answer
    x = 1,173,482.69

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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.