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Finding the Third Proportional to 525,159 and 771,201

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Solution

The third proportional to 525,159 and 771,201 is: 1,132,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,159 : 771,201 = 771,201 : x
  2. Step 2: Convert to fraction form
    525,159/771,201 = 771,201/x
  3. Step 3: Cross multiply
    525,159x = 771,201 × 771,201
  4. Step 4: Simplify right side
    525,159x = 594,750,982,401
  5. Step 5: Solve for x
    x = 594,750,982,401/525,159
  6. Step 6: Final answer
    x = 1,132,516.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.