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Finding the Third Proportional to 546,279.75 and 856,953

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Solution

The third proportional to 546,279.75 and 856,953 is: 1,344,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,279.75 : 856,953 = 856,953 : x
  2. Step 2: Convert to fraction form
    546,279.75/856,953 = 856,953/x
  3. Step 3: Cross multiply
    546,279.75x = 856,953 × 856,953
  4. Step 4: Simplify right side
    546,279.75x = 734,368,444,209
  5. Step 5: Solve for x
    x = 734,368,444,209/546,279.75
  6. Step 6: Final answer
    x = 1,344,308.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.