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Finding the Third Proportional to 214,088 and 495,764

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Solution

The third proportional to 214,088 and 495,764 is: 1,148,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,088 : 495,764 = 495,764 : x
  2. Step 2: Convert to fraction form
    214,088/495,764 = 495,764/x
  3. Step 3: Cross multiply
    214,088x = 495,764 × 495,764
  4. Step 4: Simplify right side
    214,088x = 245,781,943,696
  5. Step 5: Solve for x
    x = 245,781,943,696/214,088
  6. Step 6: Final answer
    x = 1,148,041.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.