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Finding the Third Proportional to 294,561.56 and 424,688.06

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Solution

The third proportional to 294,561.56 and 424,688.06 is: 612,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,561.56 : 424,688.06 = 424,688.06 : x
  2. Step 2: Convert to fraction form
    294,561.56/424,688.06 = 424,688.06/x
  3. Step 3: Cross multiply
    294,561.56x = 424,688.06 × 424,688.06
  4. Step 4: Simplify right side
    294,561.56x = 180,359,950,430.00
  5. Step 5: Solve for x
    x = 180,359,950,430.00/294,561.56
  6. Step 6: Final answer
    x = 612,299.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.