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Finding the Third Proportional to 248,076 and 544,752

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Solution

The third proportional to 248,076 and 544,752 is: 1,196,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,076 : 544,752 = 544,752 : x
  2. Step 2: Convert to fraction form
    248,076/544,752 = 544,752/x
  3. Step 3: Cross multiply
    248,076x = 544,752 × 544,752
  4. Step 4: Simplify right side
    248,076x = 296,754,741,504
  5. Step 5: Solve for x
    x = 296,754,741,504/248,076
  6. Step 6: Final answer
    x = 1,196,225.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.