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Finding the Third Proportional to 297,516 and 446,926

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Solution

The third proportional to 297,516 and 446,926 is: 671,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,516 : 446,926 = 446,926 : x
  2. Step 2: Convert to fraction form
    297,516/446,926 = 446,926/x
  3. Step 3: Cross multiply
    297,516x = 446,926 × 446,926
  4. Step 4: Simplify right side
    297,516x = 199,742,849,476
  5. Step 5: Solve for x
    x = 199,742,849,476/297,516
  6. Step 6: Final answer
    x = 671,368.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.