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Finding the Third Proportional to 430,744.50 and 948,321

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Solution

The third proportional to 430,744.50 and 948,321 is: 2,087,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,744.50 : 948,321 = 948,321 : x
  2. Step 2: Convert to fraction form
    430,744.50/948,321 = 948,321/x
  3. Step 3: Cross multiply
    430,744.50x = 948,321 × 948,321
  4. Step 4: Simplify right side
    430,744.50x = 899,312,719,041
  5. Step 5: Solve for x
    x = 899,312,719,041/430,744.50
  6. Step 6: Final answer
    x = 2,087,810.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.