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Finding the Third Proportional to 268,577 and 585,106

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Solution

The third proportional to 268,577 and 585,106 is: 1,274,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,577 : 585,106 = 585,106 : x
  2. Step 2: Convert to fraction form
    268,577/585,106 = 585,106/x
  3. Step 3: Cross multiply
    268,577x = 585,106 × 585,106
  4. Step 4: Simplify right side
    268,577x = 342,349,031,236
  5. Step 5: Solve for x
    x = 342,349,031,236/268,577
  6. Step 6: Final answer
    x = 1,274,677.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.