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Finding the Third Proportional to 510,592.50 and 1,085,769

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Solution

The third proportional to 510,592.50 and 1,085,769 is: 2,308,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,592.50 : 1,085,769 = 1,085,769 : x
  2. Step 2: Convert to fraction form
    510,592.50/1,085,769 = 1,085,769/x
  3. Step 3: Cross multiply
    510,592.50x = 1,085,769 × 1,085,769
  4. Step 4: Simplify right side
    510,592.50x = 1,178,894,321,361
  5. Step 5: Solve for x
    x = 1,178,894,321,361/510,592.50
  6. Step 6: Final answer
    x = 2,308,875.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.