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Finding the Third Proportional to 486,112 and 760,829

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Solution

The third proportional to 486,112 and 760,829 is: 1,190,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,112 : 760,829 = 760,829 : x
  2. Step 2: Convert to fraction form
    486,112/760,829 = 760,829/x
  3. Step 3: Cross multiply
    486,112x = 760,829 × 760,829
  4. Step 4: Simplify right side
    486,112x = 578,860,767,241
  5. Step 5: Solve for x
    x = 578,860,767,241/486,112
  6. Step 6: Final answer
    x = 1,190,797.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.