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Finding the Third Proportional to 502,798 and 718,253

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Solution

The third proportional to 502,798 and 718,253 is: 1,026,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,798 : 718,253 = 718,253 : x
  2. Step 2: Convert to fraction form
    502,798/718,253 = 718,253/x
  3. Step 3: Cross multiply
    502,798x = 718,253 × 718,253
  4. Step 4: Simplify right side
    502,798x = 515,887,372,009
  5. Step 5: Solve for x
    x = 515,887,372,009/502,798
  6. Step 6: Final answer
    x = 1,026,033.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.