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Finding the Third Proportional to 350,304 and 758,784

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Solution

The third proportional to 350,304 and 758,784 is: 1,643,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,304 : 758,784 = 758,784 : x
  2. Step 2: Convert to fraction form
    350,304/758,784 = 758,784/x
  3. Step 3: Cross multiply
    350,304x = 758,784 × 758,784
  4. Step 4: Simplify right side
    350,304x = 575,753,158,656
  5. Step 5: Solve for x
    x = 575,753,158,656/350,304
  6. Step 6: Final answer
    x = 1,643,581.46

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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.