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Finding the Third Proportional to 265,253 and 579,985

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Solution

The third proportional to 265,253 and 579,985 is: 1,268,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,253 : 579,985 = 579,985 : x
  2. Step 2: Convert to fraction form
    265,253/579,985 = 579,985/x
  3. Step 3: Cross multiply
    265,253x = 579,985 × 579,985
  4. Step 4: Simplify right side
    265,253x = 336,382,600,225
  5. Step 5: Solve for x
    x = 336,382,600,225/265,253
  6. Step 6: Final answer
    x = 1,268,157.57

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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.