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Finding the Third Proportional to 286,368 and 619,932

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Solution

The third proportional to 286,368 and 619,932 is: 1,342,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,368 : 619,932 = 619,932 : x
  2. Step 2: Convert to fraction form
    286,368/619,932 = 619,932/x
  3. Step 3: Cross multiply
    286,368x = 619,932 × 619,932
  4. Step 4: Simplify right side
    286,368x = 384,315,684,624
  5. Step 5: Solve for x
    x = 384,315,684,624/286,368
  6. Step 6: Final answer
    x = 1,342,034.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.