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Finding the Third Proportional to 319,524.50 and 700,158.25

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Solution

The third proportional to 319,524.50 and 700,158.25 is: 1,534,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,524.50 : 700,158.25 = 700,158.25 : x
  2. Step 2: Convert to fraction form
    319,524.50/700,158.25 = 700,158.25/x
  3. Step 3: Cross multiply
    319,524.50x = 700,158.25 × 700,158.25
  4. Step 4: Simplify right side
    319,524.50x = 490,221,575,043.06
  5. Step 5: Solve for x
    x = 490,221,575,043.06/319,524.50
  6. Step 6: Final answer
    x = 1,534,222.18

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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.