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Finding the Third Proportional to 245,358 and 525,692

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Solution

The third proportional to 245,358 and 525,692 is: 1,126,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,358 : 525,692 = 525,692 : x
  2. Step 2: Convert to fraction form
    245,358/525,692 = 525,692/x
  3. Step 3: Cross multiply
    245,358x = 525,692 × 525,692
  4. Step 4: Simplify right side
    245,358x = 276,352,078,864
  5. Step 5: Solve for x
    x = 276,352,078,864/245,358
  6. Step 6: Final answer
    x = 1,126,321.86

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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.