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Finding the Third Proportional to 469,412 and 706,366

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Solution

The third proportional to 469,412 and 706,366 is: 1,062,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,412 : 706,366 = 706,366 : x
  2. Step 2: Convert to fraction form
    469,412/706,366 = 706,366/x
  3. Step 3: Cross multiply
    469,412x = 706,366 × 706,366
  4. Step 4: Simplify right side
    469,412x = 498,952,925,956
  5. Step 5: Solve for x
    x = 498,952,925,956/469,412
  6. Step 6: Final answer
    x = 1,062,931.77

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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.