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Finding the Third Proportional to 238,064 and 495,854

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Solution

The third proportional to 238,064 and 495,854 is: 1,032,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,064 : 495,854 = 495,854 : x
  2. Step 2: Convert to fraction form
    238,064/495,854 = 495,854/x
  3. Step 3: Cross multiply
    238,064x = 495,854 × 495,854
  4. Step 4: Simplify right side
    238,064x = 245,871,189,316
  5. Step 5: Solve for x
    x = 245,871,189,316/238,064
  6. Step 6: Final answer
    x = 1,032,794.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.