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Finding the Third Proportional to 421,606.50 and 553,536

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Solution

The third proportional to 421,606.50 and 553,536 is: 726,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,606.50 : 553,536 = 553,536 : x
  2. Step 2: Convert to fraction form
    421,606.50/553,536 = 553,536/x
  3. Step 3: Cross multiply
    421,606.50x = 553,536 × 553,536
  4. Step 4: Simplify right side
    421,606.50x = 306,402,103,296
  5. Step 5: Solve for x
    x = 306,402,103,296/421,606.50
  6. Step 6: Final answer
    x = 726,749.00

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.