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Finding the Third Proportional to 317,292 and 492,048

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Solution

The third proportional to 317,292 and 492,048 is: 763,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,292 : 492,048 = 492,048 : x
  2. Step 2: Convert to fraction form
    317,292/492,048 = 492,048/x
  3. Step 3: Cross multiply
    317,292x = 492,048 × 492,048
  4. Step 4: Simplify right side
    317,292x = 242,111,234,304
  5. Step 5: Solve for x
    x = 242,111,234,304/317,292
  6. Step 6: Final answer
    x = 763,054.96

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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.