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Finding the Third Proportional to 264,022.50 and 560,769

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Solution

The third proportional to 264,022.50 and 560,769 is: 1,191,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,022.50 : 560,769 = 560,769 : x
  2. Step 2: Convert to fraction form
    264,022.50/560,769 = 560,769/x
  3. Step 3: Cross multiply
    264,022.50x = 560,769 × 560,769
  4. Step 4: Simplify right side
    264,022.50x = 314,461,871,361
  5. Step 5: Solve for x
    x = 314,461,871,361/264,022.50
  6. Step 6: Final answer
    x = 1,191,041.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.