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Finding the Third Proportional to 518,784 and 952,320

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Solution

The third proportional to 518,784 and 952,320 is: 1,748,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,784 : 952,320 = 952,320 : x
  2. Step 2: Convert to fraction form
    518,784/952,320 = 952,320/x
  3. Step 3: Cross multiply
    518,784x = 952,320 × 952,320
  4. Step 4: Simplify right side
    518,784x = 906,913,382,400
  5. Step 5: Solve for x
    x = 906,913,382,400/518,784
  6. Step 6: Final answer
    x = 1,748,152.18

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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.