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Finding the Third Proportional to 430,508 and 671,926

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Solution

The third proportional to 430,508 and 671,926 is: 1,048,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,508 : 671,926 = 671,926 : x
  2. Step 2: Convert to fraction form
    430,508/671,926 = 671,926/x
  3. Step 3: Cross multiply
    430,508x = 671,926 × 671,926
  4. Step 4: Simplify right side
    430,508x = 451,484,549,476
  5. Step 5: Solve for x
    x = 451,484,549,476/430,508
  6. Step 6: Final answer
    x = 1,048,725.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.