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Finding the Third Proportional to 415,417.50 and 903,735

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Solution

The third proportional to 415,417.50 and 903,735 is: 1,966,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,417.50 : 903,735 = 903,735 : x
  2. Step 2: Convert to fraction form
    415,417.50/903,735 = 903,735/x
  3. Step 3: Cross multiply
    415,417.50x = 903,735 × 903,735
  4. Step 4: Simplify right side
    415,417.50x = 816,736,950,225
  5. Step 5: Solve for x
    x = 816,736,950,225/415,417.50
  6. Step 6: Final answer
    x = 1,966,062.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.