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Finding the Third Proportional to 482,260.50 and 710,067.75

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Solution

The third proportional to 482,260.50 and 710,067.75 is: 1,045,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,260.50 : 710,067.75 = 710,067.75 : x
  2. Step 2: Convert to fraction form
    482,260.50/710,067.75 = 710,067.75/x
  3. Step 3: Cross multiply
    482,260.50x = 710,067.75 × 710,067.75
  4. Step 4: Simplify right side
    482,260.50x = 504,196,209,590.06
  5. Step 5: Solve for x
    x = 504,196,209,590.06/482,260.50
  6. Step 6: Final answer
    x = 1,045,485.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.