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Finding the Third Proportional to 343,806.75 and 525,592.13

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Solution

The third proportional to 343,806.75 and 525,592.13 is: 803,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,806.75 : 525,592.13 = 525,592.13 : x
  2. Step 2: Convert to fraction form
    343,806.75/525,592.13 = 525,592.13/x
  3. Step 3: Cross multiply
    343,806.75x = 525,592.13 × 525,592.13
  4. Step 4: Simplify right side
    343,806.75x = 276,247,081,862.02
  5. Step 5: Solve for x
    x = 276,247,081,862.02/343,806.75
  6. Step 6: Final answer
    x = 803,495.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.