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Finding the Third Proportional to 523,370 and 805,575

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Solution

The third proportional to 523,370 and 805,575 is: 1,239,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,370 : 805,575 = 805,575 : x
  2. Step 2: Convert to fraction form
    523,370/805,575 = 805,575/x
  3. Step 3: Cross multiply
    523,370x = 805,575 × 805,575
  4. Step 4: Simplify right side
    523,370x = 648,951,080,625
  5. Step 5: Solve for x
    x = 648,951,080,625/523,370
  6. Step 6: Final answer
    x = 1,239,947.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.