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Finding the Third Proportional to 219,072 and 473,120

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Solution

The third proportional to 219,072 and 473,120 is: 1,021,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,072 : 473,120 = 473,120 : x
  2. Step 2: Convert to fraction form
    219,072/473,120 = 473,120/x
  3. Step 3: Cross multiply
    219,072x = 473,120 × 473,120
  4. Step 4: Simplify right side
    219,072x = 223,842,534,400
  5. Step 5: Solve for x
    x = 223,842,534,400/219,072
  6. Step 6: Final answer
    x = 1,021,776.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.