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Finding the Third Proportional to 216,897.75 and 468,909

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Solution

The third proportional to 216,897.75 and 468,909 is: 1,013,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,897.75 : 468,909 = 468,909 : x
  2. Step 2: Convert to fraction form
    216,897.75/468,909 = 468,909/x
  3. Step 3: Cross multiply
    216,897.75x = 468,909 × 468,909
  4. Step 4: Simplify right side
    216,897.75x = 219,875,650,281
  5. Step 5: Solve for x
    x = 219,875,650,281/216,897.75
  6. Step 6: Final answer
    x = 1,013,729.51

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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.