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Finding the Third Proportional to 540,316.50 and 1,175,769

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Solution

The third proportional to 540,316.50 and 1,175,769 is: 2,558,561.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,316.50 : 1,175,769 = 1,175,769 : x
  2. Step 2: Convert to fraction form
    540,316.50/1,175,769 = 1,175,769/x
  3. Step 3: Cross multiply
    540,316.50x = 1,175,769 × 1,175,769
  4. Step 4: Simplify right side
    540,316.50x = 1,382,432,741,361
  5. Step 5: Solve for x
    x = 1,382,432,741,361/540,316.50
  6. Step 6: Final answer
    x = 2,558,561.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.