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Finding the Third Proportional to 475,484 and 705,366

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Solution

The third proportional to 475,484 and 705,366 is: 1,046,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,484 : 705,366 = 705,366 : x
  2. Step 2: Convert to fraction form
    475,484/705,366 = 705,366/x
  3. Step 3: Cross multiply
    475,484x = 705,366 × 705,366
  4. Step 4: Simplify right side
    475,484x = 497,541,193,956
  5. Step 5: Solve for x
    x = 497,541,193,956/475,484
  6. Step 6: Final answer
    x = 1,046,388.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.