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Finding the Third Proportional to 350,746.50 and 757,545

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Solution

The third proportional to 350,746.50 and 757,545 is: 1,636,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,746.50 : 757,545 = 757,545 : x
  2. Step 2: Convert to fraction form
    350,746.50/757,545 = 757,545/x
  3. Step 3: Cross multiply
    350,746.50x = 757,545 × 757,545
  4. Step 4: Simplify right side
    350,746.50x = 573,874,427,025
  5. Step 5: Solve for x
    x = 573,874,427,025/350,746.50
  6. Step 6: Final answer
    x = 1,636,151.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.