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Finding the Third Proportional to 475,934 and 736,943

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Solution

The third proportional to 475,934 and 736,943 is: 1,141,093.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,934 : 736,943 = 736,943 : x
  2. Step 2: Convert to fraction form
    475,934/736,943 = 736,943/x
  3. Step 3: Cross multiply
    475,934x = 736,943 × 736,943
  4. Step 4: Simplify right side
    475,934x = 543,084,985,249
  5. Step 5: Solve for x
    x = 543,084,985,249/475,934
  6. Step 6: Final answer
    x = 1,141,093.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.