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Finding the Third Proportional to 400,666.50 and 863,541

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Solution

The third proportional to 400,666.50 and 863,541 is: 1,861,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,666.50 : 863,541 = 863,541 : x
  2. Step 2: Convert to fraction form
    400,666.50/863,541 = 863,541/x
  3. Step 3: Cross multiply
    400,666.50x = 863,541 × 863,541
  4. Step 4: Simplify right side
    400,666.50x = 745,703,058,681
  5. Step 5: Solve for x
    x = 745,703,058,681/400,666.50
  6. Step 6: Final answer
    x = 1,861,156.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.