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Finding the Third Proportional to 605,784 and 950,352

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Solution

The third proportional to 605,784 and 950,352 is: 1,490,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,784 : 950,352 = 950,352 : x
  2. Step 2: Convert to fraction form
    605,784/950,352 = 950,352/x
  3. Step 3: Cross multiply
    605,784x = 950,352 × 950,352
  4. Step 4: Simplify right side
    605,784x = 903,168,923,904
  5. Step 5: Solve for x
    x = 903,168,923,904/605,784
  6. Step 6: Final answer
    x = 1,490,909.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.