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Finding the Third Proportional to 248,277.38 and 526,347

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Solution

The third proportional to 248,277.38 and 526,347 is: 1,115,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,277.38 : 526,347 = 526,347 : x
  2. Step 2: Convert to fraction form
    248,277.38/526,347 = 526,347/x
  3. Step 3: Cross multiply
    248,277.38x = 526,347 × 526,347
  4. Step 4: Simplify right side
    248,277.38x = 277,041,164,409
  5. Step 5: Solve for x
    x = 277,041,164,409/248,277.38
  6. Step 6: Final answer
    x = 1,115,853.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.