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Finding the Third Proportional to 283,125 and 610,530

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Solution

The third proportional to 283,125 and 610,530 is: 1,316,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,125 : 610,530 = 610,530 : x
  2. Step 2: Convert to fraction form
    283,125/610,530 = 610,530/x
  3. Step 3: Cross multiply
    283,125x = 610,530 × 610,530
  4. Step 4: Simplify right side
    283,125x = 372,746,880,900
  5. Step 5: Solve for x
    x = 372,746,880,900/283,125
  6. Step 6: Final answer
    x = 1,316,545.27

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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.