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Finding the Third Proportional to 526,442 and 770,011

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Solution

The third proportional to 526,442 and 770,011 is: 1,126,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,442 : 770,011 = 770,011 : x
  2. Step 2: Convert to fraction form
    526,442/770,011 = 770,011/x
  3. Step 3: Cross multiply
    526,442x = 770,011 × 770,011
  4. Step 4: Simplify right side
    526,442x = 592,916,940,121
  5. Step 5: Solve for x
    x = 592,916,940,121/526,442
  6. Step 6: Final answer
    x = 1,126,272.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.