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Finding the Third Proportional to 317,128 and 492,620

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Solution

The third proportional to 317,128 and 492,620 is: 765,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,128 : 492,620 = 492,620 : x
  2. Step 2: Convert to fraction form
    317,128/492,620 = 492,620/x
  3. Step 3: Cross multiply
    317,128x = 492,620 × 492,620
  4. Step 4: Simplify right side
    317,128x = 242,674,464,400
  5. Step 5: Solve for x
    x = 242,674,464,400/317,128
  6. Step 6: Final answer
    x = 765,225.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.