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Finding the Third Proportional to 350,788 and 757,709

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Solution

The third proportional to 350,788 and 757,709 is: 1,636,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,788 : 757,709 = 757,709 : x
  2. Step 2: Convert to fraction form
    350,788/757,709 = 757,709/x
  3. Step 3: Cross multiply
    350,788x = 757,709 × 757,709
  4. Step 4: Simplify right side
    350,788x = 574,122,928,681
  5. Step 5: Solve for x
    x = 574,122,928,681/350,788
  6. Step 6: Final answer
    x = 1,636,666.39

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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.