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Finding the Third Proportional to 229,083 and 473,880

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Solution

The third proportional to 229,083 and 473,880 is: 980,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,083 : 473,880 = 473,880 : x
  2. Step 2: Convert to fraction form
    229,083/473,880 = 473,880/x
  3. Step 3: Cross multiply
    229,083x = 473,880 × 473,880
  4. Step 4: Simplify right side
    229,083x = 224,562,254,400
  5. Step 5: Solve for x
    x = 224,562,254,400/229,083
  6. Step 6: Final answer
    x = 980,265.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.