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Finding the Third Proportional to 421,465.50 and 903,225.38

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Solution

The third proportional to 421,465.50 and 903,225.38 is: 1,935,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,465.50 : 903,225.38 = 903,225.38 : x
  2. Step 2: Convert to fraction form
    421,465.50/903,225.38 = 903,225.38/x
  3. Step 3: Cross multiply
    421,465.50x = 903,225.38 × 903,225.38
  4. Step 4: Simplify right side
    421,465.50x = 815,816,078,043.89
  5. Step 5: Solve for x
    x = 815,816,078,043.89/421,465.50
  6. Step 6: Final answer
    x = 1,935,665.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.