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Finding the Third Proportional to 466,462.50 and 974,352

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Solution

The third proportional to 466,462.50 and 974,352 is: 2,035,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,462.50 : 974,352 = 974,352 : x
  2. Step 2: Convert to fraction form
    466,462.50/974,352 = 974,352/x
  3. Step 3: Cross multiply
    466,462.50x = 974,352 × 974,352
  4. Step 4: Simplify right side
    466,462.50x = 949,361,819,904
  5. Step 5: Solve for x
    x = 949,361,819,904/466,462.50
  6. Step 6: Final answer
    x = 2,035,237.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.