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Finding the Third Proportional to 245,352 and 525,680

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Solution

The third proportional to 245,352 and 525,680 is: 1,126,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,352 : 525,680 = 525,680 : x
  2. Step 2: Convert to fraction form
    245,352/525,680 = 525,680/x
  3. Step 3: Cross multiply
    245,352x = 525,680 × 525,680
  4. Step 4: Simplify right side
    245,352x = 276,339,462,400
  5. Step 5: Solve for x
    x = 276,339,462,400/245,352
  6. Step 6: Final answer
    x = 1,126,297.98

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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.