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Finding the Third Proportional to 423,267.38 and 903,938.25

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Solution

The third proportional to 423,267.38 and 903,938.25 is: 1,930,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,267.38 : 903,938.25 = 903,938.25 : x
  2. Step 2: Convert to fraction form
    423,267.38/903,938.25 = 903,938.25/x
  3. Step 3: Cross multiply
    423,267.38x = 903,938.25 × 903,938.25
  4. Step 4: Simplify right side
    423,267.38x = 817,104,359,813.06
  5. Step 5: Solve for x
    x = 817,104,359,813.06/423,267.38
  6. Step 6: Final answer
    x = 1,930,468.56

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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.