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Finding the Third Proportional to 285,926 and 611,118

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Solution

The third proportional to 285,926 and 611,118 is: 1,306,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,926 : 611,118 = 611,118 : x
  2. Step 2: Convert to fraction form
    285,926/611,118 = 611,118/x
  3. Step 3: Cross multiply
    285,926x = 611,118 × 611,118
  4. Step 4: Simplify right side
    285,926x = 373,465,209,924
  5. Step 5: Solve for x
    x = 373,465,209,924/285,926
  6. Step 6: Final answer
    x = 1,306,160.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.