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Finding the Third Proportional to 466,935 and 702,286.50

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Solution

The third proportional to 466,935 and 702,286.50 is: 1,056,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,935 : 702,286.50 = 702,286.50 : x
  2. Step 2: Convert to fraction form
    466,935/702,286.50 = 702,286.50/x
  3. Step 3: Cross multiply
    466,935x = 702,286.50 × 702,286.50
  4. Step 4: Simplify right side
    466,935x = 493,206,328,082.25
  5. Step 5: Solve for x
    x = 493,206,328,082.25/466,935
  6. Step 6: Final answer
    x = 1,056,263.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.