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Finding the Third Proportional to 403,122.75 and 609,899.63

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Solution

The third proportional to 403,122.75 and 609,899.63 is: 922,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,122.75 : 609,899.63 = 609,899.63 : x
  2. Step 2: Convert to fraction form
    403,122.75/609,899.63 = 609,899.63/x
  3. Step 3: Cross multiply
    403,122.75x = 609,899.63 × 609,899.63
  4. Step 4: Simplify right side
    403,122.75x = 371,977,552,575.14
  5. Step 5: Solve for x
    x = 371,977,552,575.14/403,122.75
  6. Step 6: Final answer
    x = 922,740.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.