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Finding the Third Proportional to 350,598 and 767,534

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Solution

The third proportional to 350,598 and 767,534 is: 1,680,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,598 : 767,534 = 767,534 : x
  2. Step 2: Convert to fraction form
    350,598/767,534 = 767,534/x
  3. Step 3: Cross multiply
    350,598x = 767,534 × 767,534
  4. Step 4: Simplify right side
    350,598x = 589,108,441,156
  5. Step 5: Solve for x
    x = 589,108,441,156/350,598
  6. Step 6: Final answer
    x = 1,680,296.07

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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.