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Finding the Third Proportional to 343,456.50 and 525,411

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Solution

The third proportional to 343,456.50 and 525,411 is: 803,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456.50 : 525,411 = 525,411 : x
  2. Step 2: Convert to fraction form
    343,456.50/525,411 = 525,411/x
  3. Step 3: Cross multiply
    343,456.50x = 525,411 × 525,411
  4. Step 4: Simplify right side
    343,456.50x = 276,056,718,921
  5. Step 5: Solve for x
    x = 276,056,718,921/343,456.50
  6. Step 6: Final answer
    x = 803,760.36

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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.