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Finding the Third Proportional to 375,924 and 788,752

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Solution

The third proportional to 375,924 and 788,752 is: 1,654,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924 : 788,752 = 788,752 : x
  2. Step 2: Convert to fraction form
    375,924/788,752 = 788,752/x
  3. Step 3: Cross multiply
    375,924x = 788,752 × 788,752
  4. Step 4: Simplify right side
    375,924x = 622,129,717,504
  5. Step 5: Solve for x
    x = 622,129,717,504/375,924
  6. Step 6: Final answer
    x = 1,654,934.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.