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Finding the Third Proportional to 354,769.88 and 564,782.63

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Solution

The third proportional to 354,769.88 and 564,782.63 is: 899,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,769.88 : 564,782.63 = 564,782.63 : x
  2. Step 2: Convert to fraction form
    354,769.88/564,782.63 = 564,782.63/x
  3. Step 3: Cross multiply
    354,769.88x = 564,782.63 × 564,782.63
  4. Step 4: Simplify right side
    354,769.88x = 318,979,413,501.89
  5. Step 5: Solve for x
    x = 318,979,413,501.89/354,769.88
  6. Step 6: Final answer
    x = 899,116.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.