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Finding the Third Proportional to 401,038.50 and 891,735

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Solution

The third proportional to 401,038.50 and 891,735 is: 1,982,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038.50 : 891,735 = 891,735 : x
  2. Step 2: Convert to fraction form
    401,038.50/891,735 = 891,735/x
  3. Step 3: Cross multiply
    401,038.50x = 891,735 × 891,735
  4. Step 4: Simplify right side
    401,038.50x = 795,191,310,225
  5. Step 5: Solve for x
    x = 795,191,310,225/401,038.50
  6. Step 6: Final answer
    x = 1,982,830.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.