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Finding the Third Proportional to 229,635 and 486,590

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Solution

The third proportional to 229,635 and 486,590 is: 1,031,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,635 : 486,590 = 486,590 : x
  2. Step 2: Convert to fraction form
    229,635/486,590 = 486,590/x
  3. Step 3: Cross multiply
    229,635x = 486,590 × 486,590
  4. Step 4: Simplify right side
    229,635x = 236,769,828,100
  5. Step 5: Solve for x
    x = 236,769,828,100/229,635
  6. Step 6: Final answer
    x = 1,031,070.30

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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.