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Finding the Third Proportional to 285,853.43 and 418,035.94

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Solution

The third proportional to 285,853.43 and 418,035.94 is: 611,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,853.43 : 418,035.94 = 418,035.94 : x
  2. Step 2: Convert to fraction form
    285,853.43/418,035.94 = 418,035.94/x
  3. Step 3: Cross multiply
    285,853.43x = 418,035.94 × 418,035.94
  4. Step 4: Simplify right side
    285,853.43x = 174,754,045,041.50
  5. Step 5: Solve for x
    x = 174,754,045,041.50/285,853.43
  6. Step 6: Final answer
    x = 611,341.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.