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Finding the Third Proportional to 263,628 and 575,370

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Solution

The third proportional to 263,628 and 575,370 is: 1,255,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,628 : 575,370 = 575,370 : x
  2. Step 2: Convert to fraction form
    263,628/575,370 = 575,370/x
  3. Step 3: Cross multiply
    263,628x = 575,370 × 575,370
  4. Step 4: Simplify right side
    263,628x = 331,050,636,900
  5. Step 5: Solve for x
    x = 331,050,636,900/263,628
  6. Step 6: Final answer
    x = 1,255,749.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.