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Finding the Third Proportional to 384,315.75 and 610,688.25

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Solution

The third proportional to 384,315.75 and 610,688.25 is: 970,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,315.75 : 610,688.25 = 610,688.25 : x
  2. Step 2: Convert to fraction form
    384,315.75/610,688.25 = 610,688.25/x
  3. Step 3: Cross multiply
    384,315.75x = 610,688.25 × 610,688.25
  4. Step 4: Simplify right side
    384,315.75x = 372,940,138,688.06
  5. Step 5: Solve for x
    x = 372,940,138,688.06/384,315.75
  6. Step 6: Final answer
    x = 970,400.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.