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Finding the Third Proportional to 466,929 and 702,276.75

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Solution

The third proportional to 466,929 and 702,276.75 is: 1,056,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,929 : 702,276.75 = 702,276.75 : x
  2. Step 2: Convert to fraction form
    466,929/702,276.75 = 702,276.75/x
  3. Step 3: Cross multiply
    466,929x = 702,276.75 × 702,276.75
  4. Step 4: Simplify right side
    466,929x = 493,192,633,590.56
  5. Step 5: Solve for x
    x = 493,192,633,590.56/466,929
  6. Step 6: Final answer
    x = 1,056,247.60

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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.