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Finding the Third Proportional to 250,363.50 and 556,701

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Solution

The third proportional to 250,363.50 and 556,701 is: 1,237,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,363.50 : 556,701 = 556,701 : x
  2. Step 2: Convert to fraction form
    250,363.50/556,701 = 556,701/x
  3. Step 3: Cross multiply
    250,363.50x = 556,701 × 556,701
  4. Step 4: Simplify right side
    250,363.50x = 309,916,003,401
  5. Step 5: Solve for x
    x = 309,916,003,401/250,363.50
  6. Step 6: Final answer
    x = 1,237,864.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.