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Finding the Third Proportional to 526,520 and 770,032

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Solution

The third proportional to 526,520 and 770,032 is: 1,126,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,520 : 770,032 = 770,032 : x
  2. Step 2: Convert to fraction form
    526,520/770,032 = 770,032/x
  3. Step 3: Cross multiply
    526,520x = 770,032 × 770,032
  4. Step 4: Simplify right side
    526,520x = 592,949,281,024
  5. Step 5: Solve for x
    x = 592,949,281,024/526,520
  6. Step 6: Final answer
    x = 1,126,166.68

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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.