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Finding the Third Proportional to 531,937 and 797,904

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Solution

The third proportional to 531,937 and 797,904 is: 1,196,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,937 : 797,904 = 797,904 : x
  2. Step 2: Convert to fraction form
    531,937/797,904 = 797,904/x
  3. Step 3: Cross multiply
    531,937x = 797,904 × 797,904
  4. Step 4: Simplify right side
    531,937x = 636,650,793,216
  5. Step 5: Solve for x
    x = 636,650,793,216/531,937
  6. Step 6: Final answer
    x = 1,196,853.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.