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Finding the Third Proportional to 215,869.50 and 458,046

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Solution

The third proportional to 215,869.50 and 458,046 is: 971,911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,869.50 : 458,046 = 458,046 : x
  2. Step 2: Convert to fraction form
    215,869.50/458,046 = 458,046/x
  3. Step 3: Cross multiply
    215,869.50x = 458,046 × 458,046
  4. Step 4: Simplify right side
    215,869.50x = 209,806,138,116
  5. Step 5: Solve for x
    x = 209,806,138,116/215,869.50
  6. Step 6: Final answer
    x = 971,911.91

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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.