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Finding the Third Proportional to 242,468.63 and 526,907.63

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Solution

The third proportional to 242,468.63 and 526,907.63 is: 1,145,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,468.63 : 526,907.63 = 526,907.63 : x
  2. Step 2: Convert to fraction form
    242,468.63/526,907.63 = 526,907.63/x
  3. Step 3: Cross multiply
    242,468.63x = 526,907.63 × 526,907.63
  4. Step 4: Simplify right side
    242,468.63x = 277,631,645,283.14
  5. Step 5: Solve for x
    x = 277,631,645,283.14/242,468.63
  6. Step 6: Final answer
    x = 1,145,020.91

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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.