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Finding the Third Proportional to 350,562 and 767,464

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Solution

The third proportional to 350,562 and 767,464 is: 1,680,162.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,562 : 767,464 = 767,464 : x
  2. Step 2: Convert to fraction form
    350,562/767,464 = 767,464/x
  3. Step 3: Cross multiply
    350,562x = 767,464 × 767,464
  4. Step 4: Simplify right side
    350,562x = 589,000,991,296
  5. Step 5: Solve for x
    x = 589,000,991,296/350,562
  6. Step 6: Final answer
    x = 1,680,162.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.