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Finding the Third Proportional to 466,362 and 998,869.50

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Solution

The third proportional to 466,362 and 998,869.50 is: 2,139,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,362 : 998,869.50 = 998,869.50 : x
  2. Step 2: Convert to fraction form
    466,362/998,869.50 = 998,869.50/x
  3. Step 3: Cross multiply
    466,362x = 998,869.50 × 998,869.50
  4. Step 4: Simplify right side
    466,362x = 997,740,278,030.25
  5. Step 5: Solve for x
    x = 997,740,278,030.25/466,362
  6. Step 6: Final answer
    x = 2,139,411.61

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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.