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Finding the Third Proportional to 212,946.63 and 469,101.50

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Solution

The third proportional to 212,946.63 and 469,101.50 is: 1,033,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,946.63 : 469,101.50 = 469,101.50 : x
  2. Step 2: Convert to fraction form
    212,946.63/469,101.50 = 469,101.50/x
  3. Step 3: Cross multiply
    212,946.63x = 469,101.50 × 469,101.50
  4. Step 4: Simplify right side
    212,946.63x = 220,056,217,302.25
  5. Step 5: Solve for x
    x = 220,056,217,302.25/212,946.63
  6. Step 6: Final answer
    x = 1,033,386.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.