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Finding the Third Proportional to 316,658 and 495,723

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Solution

The third proportional to 316,658 and 495,723 is: 776,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,658 : 495,723 = 495,723 : x
  2. Step 2: Convert to fraction form
    316,658/495,723 = 495,723/x
  3. Step 3: Cross multiply
    316,658x = 495,723 × 495,723
  4. Step 4: Simplify right side
    316,658x = 245,741,292,729
  5. Step 5: Solve for x
    x = 245,741,292,729/316,658
  6. Step 6: Final answer
    x = 776,046.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.