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Finding the Third Proportional to 430,522.50 and 938,550

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Solution

The third proportional to 430,522.50 and 938,550 is: 2,046,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,522.50 : 938,550 = 938,550 : x
  2. Step 2: Convert to fraction form
    430,522.50/938,550 = 938,550/x
  3. Step 3: Cross multiply
    430,522.50x = 938,550 × 938,550
  4. Step 4: Simplify right side
    430,522.50x = 880,876,102,500
  5. Step 5: Solve for x
    x = 880,876,102,500/430,522.50
  6. Step 6: Final answer
    x = 2,046,062.87

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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.