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Finding the Third Proportional to 283,312 and 610,340

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Solution

The third proportional to 283,312 and 610,340 is: 1,314,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,312 : 610,340 = 610,340 : x
  2. Step 2: Convert to fraction form
    283,312/610,340 = 610,340/x
  3. Step 3: Cross multiply
    283,312x = 610,340 × 610,340
  4. Step 4: Simplify right side
    283,312x = 372,514,915,600
  5. Step 5: Solve for x
    x = 372,514,915,600/283,312
  6. Step 6: Final answer
    x = 1,314,857.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.