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Finding the Third Proportional to 344,348 and 526,388

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Solution

The third proportional to 344,348 and 526,388 is: 804,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,348 : 526,388 = 526,388 : x
  2. Step 2: Convert to fraction form
    344,348/526,388 = 526,388/x
  3. Step 3: Cross multiply
    344,348x = 526,388 × 526,388
  4. Step 4: Simplify right side
    344,348x = 277,084,326,544
  5. Step 5: Solve for x
    x = 277,084,326,544/344,348
  6. Step 6: Final answer
    x = 804,663.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.