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Finding the Third Proportional to 373,764 and 877,470

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Solution

The third proportional to 373,764 and 877,470 is: 2,059,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,764 : 877,470 = 877,470 : x
  2. Step 2: Convert to fraction form
    373,764/877,470 = 877,470/x
  3. Step 3: Cross multiply
    373,764x = 877,470 × 877,470
  4. Step 4: Simplify right side
    373,764x = 769,953,600,900
  5. Step 5: Solve for x
    x = 769,953,600,900/373,764
  6. Step 6: Final answer
    x = 2,059,999.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.