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Finding the Third Proportional to 290,368 and 615,994

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Solution

The third proportional to 290,368 and 615,994 is: 1,306,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,368 : 615,994 = 615,994 : x
  2. Step 2: Convert to fraction form
    290,368/615,994 = 615,994/x
  3. Step 3: Cross multiply
    290,368x = 615,994 × 615,994
  4. Step 4: Simplify right side
    290,368x = 379,448,608,036
  5. Step 5: Solve for x
    x = 379,448,608,036/290,368
  6. Step 6: Final answer
    x = 1,306,785.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.