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Finding the Third Proportional to 254,664 and 522,072

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Solution

The third proportional to 254,664 and 522,072 is: 1,070,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,664 : 522,072 = 522,072 : x
  2. Step 2: Convert to fraction form
    254,664/522,072 = 522,072/x
  3. Step 3: Cross multiply
    254,664x = 522,072 × 522,072
  4. Step 4: Simplify right side
    254,664x = 272,559,173,184
  5. Step 5: Solve for x
    x = 272,559,173,184/254,664
  6. Step 6: Final answer
    x = 1,070,269.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.