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Finding the Third Proportional to 375,924 and 575,793

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Solution

The third proportional to 375,924 and 575,793 is: 881,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924 : 575,793 = 575,793 : x
  2. Step 2: Convert to fraction form
    375,924/575,793 = 575,793/x
  3. Step 3: Cross multiply
    375,924x = 575,793 × 575,793
  4. Step 4: Simplify right side
    375,924x = 331,537,578,849
  5. Step 5: Solve for x
    x = 331,537,578,849/375,924
  6. Step 6: Final answer
    x = 881,927.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.