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Finding the Third Proportional to 292,560 and 436,926

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Solution

The third proportional to 292,560 and 436,926 is: 652,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,560 : 436,926 = 436,926 : x
  2. Step 2: Convert to fraction form
    292,560/436,926 = 436,926/x
  3. Step 3: Cross multiply
    292,560x = 436,926 × 436,926
  4. Step 4: Simplify right side
    292,560x = 190,904,329,476
  5. Step 5: Solve for x
    x = 190,904,329,476/292,560
  6. Step 6: Final answer
    x = 652,530.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.