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Finding the Third Proportional to 216,901.24 and 470,001.70

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Solution

The third proportional to 216,901.24 and 470,001.70 is: 1,018,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,901.24 : 470,001.70 = 470,001.70 : x
  2. Step 2: Convert to fraction form
    216,901.24/470,001.70 = 470,001.70/x
  3. Step 3: Cross multiply
    216,901.24x = 470,001.70 × 470,001.70
  4. Step 4: Simplify right side
    216,901.24x = 220,901,601,801.01
  5. Step 5: Solve for x
    x = 220,901,601,801.01/216,901.24
  6. Step 6: Final answer
    x = 1,018,443.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.