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Finding the Third Proportional to 264,060 and 576,506.25

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Solution

The third proportional to 264,060 and 576,506.25 is: 1,258,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,060 : 576,506.25 = 576,506.25 : x
  2. Step 2: Convert to fraction form
    264,060/576,506.25 = 576,506.25/x
  3. Step 3: Cross multiply
    264,060x = 576,506.25 × 576,506.25
  4. Step 4: Simplify right side
    264,060x = 332,359,456,289.06
  5. Step 5: Solve for x
    x = 332,359,456,289.06/264,060
  6. Step 6: Final answer
    x = 1,258,651.28

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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.