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Finding the Third Proportional to 510,597.50 and 715,509.75

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Solution

The third proportional to 510,597.50 and 715,509.75 is: 1,002,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,597.50 : 715,509.75 = 715,509.75 : x
  2. Step 2: Convert to fraction form
    510,597.50/715,509.75 = 715,509.75/x
  3. Step 3: Cross multiply
    510,597.50x = 715,509.75 × 715,509.75
  4. Step 4: Simplify right side
    510,597.50x = 511,954,202,345.06
  5. Step 5: Solve for x
    x = 511,954,202,345.06/510,597.50
  6. Step 6: Final answer
    x = 1,002,657.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.