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Finding the Third Proportional to 354,649.50 and 532,345.50

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Solution

The third proportional to 354,649.50 and 532,345.50 is: 799,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,649.50 : 532,345.50 = 532,345.50 : x
  2. Step 2: Convert to fraction form
    354,649.50/532,345.50 = 532,345.50/x
  3. Step 3: Cross multiply
    354,649.50x = 532,345.50 × 532,345.50
  4. Step 4: Simplify right side
    354,649.50x = 283,391,731,370.25
  5. Step 5: Solve for x
    x = 283,391,731,370.25/354,649.50
  6. Step 6: Final answer
    x = 799,075.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.