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Finding the Third Proportional to 474,924 and 668,812.50

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Solution

The third proportional to 474,924 and 668,812.50 is: 941,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,924 : 668,812.50 = 668,812.50 : x
  2. Step 2: Convert to fraction form
    474,924/668,812.50 = 668,812.50/x
  3. Step 3: Cross multiply
    474,924x = 668,812.50 × 668,812.50
  4. Step 4: Simplify right side
    474,924x = 447,310,160,156.25
  5. Step 5: Solve for x
    x = 447,310,160,156.25/474,924
  6. Step 6: Final answer
    x = 941,856.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.