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Finding the Third Proportional to 466,285.50 and 701,154

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Solution

The third proportional to 466,285.50 and 701,154 is: 1,054,326.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,285.50 : 701,154 = 701,154 : x
  2. Step 2: Convert to fraction form
    466,285.50/701,154 = 701,154/x
  3. Step 3: Cross multiply
    466,285.50x = 701,154 × 701,154
  4. Step 4: Simplify right side
    466,285.50x = 491,616,931,716
  5. Step 5: Solve for x
    x = 491,616,931,716/466,285.50
  6. Step 6: Final answer
    x = 1,054,326.01

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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.