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Finding the Third Proportional to 350,604 and 767,550

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Solution

The third proportional to 350,604 and 767,550 is: 1,680,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,604 : 767,550 = 767,550 : x
  2. Step 2: Convert to fraction form
    350,604/767,550 = 767,550/x
  3. Step 3: Cross multiply
    350,604x = 767,550 × 767,550
  4. Step 4: Simplify right side
    350,604x = 589,133,002,500
  5. Step 5: Solve for x
    x = 589,133,002,500/350,604
  6. Step 6: Final answer
    x = 1,680,337.37

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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.