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Finding the Third Proportional to 245,189 and 525,370

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Solution

The third proportional to 245,189 and 525,370 is: 1,125,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,189 : 525,370 = 525,370 : x
  2. Step 2: Convert to fraction form
    245,189/525,370 = 525,370/x
  3. Step 3: Cross multiply
    245,189x = 525,370 × 525,370
  4. Step 4: Simplify right side
    245,189x = 276,013,636,900
  5. Step 5: Solve for x
    x = 276,013,636,900/245,189
  6. Step 6: Final answer
    x = 1,125,717.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.