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Finding the Third Proportional to 303,534 and 445,459.50

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Solution

The third proportional to 303,534 and 445,459.50 is: 653,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,534 : 445,459.50 = 445,459.50 : x
  2. Step 2: Convert to fraction form
    303,534/445,459.50 = 445,459.50/x
  3. Step 3: Cross multiply
    303,534x = 445,459.50 × 445,459.50
  4. Step 4: Simplify right side
    303,534x = 198,434,166,140.25
  5. Step 5: Solve for x
    x = 198,434,166,140.25/303,534
  6. Step 6: Final answer
    x = 653,746.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.