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Finding the Third Proportional to 265,556 and 573,368

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Solution

The third proportional to 265,556 and 573,368 is: 1,237,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,556 : 573,368 = 573,368 : x
  2. Step 2: Convert to fraction form
    265,556/573,368 = 573,368/x
  3. Step 3: Cross multiply
    265,556x = 573,368 × 573,368
  4. Step 4: Simplify right side
    265,556x = 328,750,863,424
  5. Step 5: Solve for x
    x = 328,750,863,424/265,556
  6. Step 6: Final answer
    x = 1,237,971.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.