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Finding the Third Proportional to 630,380 and 957,243

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Solution

The third proportional to 630,380 and 957,243 is: 1,453,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,380 : 957,243 = 957,243 : x
  2. Step 2: Convert to fraction form
    630,380/957,243 = 957,243/x
  3. Step 3: Cross multiply
    630,380x = 957,243 × 957,243
  4. Step 4: Simplify right side
    630,380x = 916,314,161,049
  5. Step 5: Solve for x
    x = 916,314,161,049/630,380
  6. Step 6: Final answer
    x = 1,453,590.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.