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Finding the Third Proportional to 350,769 and 757,587

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Solution

The third proportional to 350,769 and 757,587 is: 1,636,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,769 : 757,587 = 757,587 : x
  2. Step 2: Convert to fraction form
    350,769/757,587 = 757,587/x
  3. Step 3: Cross multiply
    350,769x = 757,587 × 757,587
  4. Step 4: Simplify right side
    350,769x = 573,938,062,569
  5. Step 5: Solve for x
    x = 573,938,062,569/350,769
  6. Step 6: Final answer
    x = 1,636,228.01

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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.