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Finding the Third Proportional to 233,043 and 510,550

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Solution

The third proportional to 233,043 and 510,550 is: 1,118,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,043 : 510,550 = 510,550 : x
  2. Step 2: Convert to fraction form
    233,043/510,550 = 510,550/x
  3. Step 3: Cross multiply
    233,043x = 510,550 × 510,550
  4. Step 4: Simplify right side
    233,043x = 260,661,302,500
  5. Step 5: Solve for x
    x = 260,661,302,500/233,043
  6. Step 6: Final answer
    x = 1,118,511.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.