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Finding the Third Proportional to 475,470 and 705,348

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Solution

The third proportional to 475,470 and 705,348 is: 1,046,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,470 : 705,348 = 705,348 : x
  2. Step 2: Convert to fraction form
    475,470/705,348 = 705,348/x
  3. Step 3: Cross multiply
    475,470x = 705,348 × 705,348
  4. Step 4: Simplify right side
    475,470x = 497,515,801,104
  5. Step 5: Solve for x
    x = 497,515,801,104/475,470
  6. Step 6: Final answer
    x = 1,046,366.33

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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.