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Finding the Third Proportional to 514,616.50 and 799,951

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Solution

The third proportional to 514,616.50 and 799,951 is: 1,243,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,616.50 : 799,951 = 799,951 : x
  2. Step 2: Convert to fraction form
    514,616.50/799,951 = 799,951/x
  3. Step 3: Cross multiply
    514,616.50x = 799,951 × 799,951
  4. Step 4: Simplify right side
    514,616.50x = 639,921,602,401
  5. Step 5: Solve for x
    x = 639,921,602,401/514,616.50
  6. Step 6: Final answer
    x = 1,243,492.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.