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Finding the Third Proportional to 403,194.38 and 607,911.75

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Solution

The third proportional to 403,194.38 and 607,911.75 is: 916,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,194.38 : 607,911.75 = 607,911.75 : x
  2. Step 2: Convert to fraction form
    403,194.38/607,911.75 = 607,911.75/x
  3. Step 3: Cross multiply
    403,194.38x = 607,911.75 × 607,911.75
  4. Step 4: Simplify right side
    403,194.38x = 369,556,695,788.06
  5. Step 5: Solve for x
    x = 369,556,695,788.06/403,194.38
  6. Step 6: Final answer
    x = 916,572.05

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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.