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Finding the Third Proportional to 245,360 and 525,696

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Solution

The third proportional to 245,360 and 525,696 is: 1,126,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,360 : 525,696 = 525,696 : x
  2. Step 2: Convert to fraction form
    245,360/525,696 = 525,696/x
  3. Step 3: Cross multiply
    245,360x = 525,696 × 525,696
  4. Step 4: Simplify right side
    245,360x = 276,356,284,416
  5. Step 5: Solve for x
    x = 276,356,284,416/245,360
  6. Step 6: Final answer
    x = 1,126,329.82

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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.