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Finding the Third Proportional to 518,798 and 952,348

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Solution

The third proportional to 518,798 and 952,348 is: 1,748,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,798 : 952,348 = 952,348 : x
  2. Step 2: Convert to fraction form
    518,798/952,348 = 952,348/x
  3. Step 3: Cross multiply
    518,798x = 952,348 × 952,348
  4. Step 4: Simplify right side
    518,798x = 906,966,713,104
  5. Step 5: Solve for x
    x = 906,966,713,104/518,798
  6. Step 6: Final answer
    x = 1,748,207.81

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.