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Finding the Third Proportional to 354,632 and 769,547

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Solution

The third proportional to 354,632 and 769,547 is: 1,669,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,632 : 769,547 = 769,547 : x
  2. Step 2: Convert to fraction form
    354,632/769,547 = 769,547/x
  3. Step 3: Cross multiply
    354,632x = 769,547 × 769,547
  4. Step 4: Simplify right side
    354,632x = 592,202,585,209
  5. Step 5: Solve for x
    x = 592,202,585,209/354,632
  6. Step 6: Final answer
    x = 1,669,907.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.