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Finding the Third Proportional to 569,857.50 and 879,458.06

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Solution

The third proportional to 569,857.50 and 879,458.06 is: 1,357,262.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,857.50 : 879,458.06 = 879,458.06 : x
  2. Step 2: Convert to fraction form
    569,857.50/879,458.06 = 879,458.06/x
  3. Step 3: Cross multiply
    569,857.50x = 879,458.06 × 879,458.06
  4. Step 4: Simplify right side
    569,857.50x = 773,446,483,696.25
  5. Step 5: Solve for x
    x = 773,446,483,696.25/569,857.50
  6. Step 6: Final answer
    x = 1,357,262.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.