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Finding the Third Proportional to 403,833 and 625,221

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Solution

The third proportional to 403,833 and 625,221 is: 967,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,833 : 625,221 = 625,221 : x
  2. Step 2: Convert to fraction form
    403,833/625,221 = 625,221/x
  3. Step 3: Cross multiply
    403,833x = 625,221 × 625,221
  4. Step 4: Simplify right side
    403,833x = 390,901,298,841
  5. Step 5: Solve for x
    x = 390,901,298,841/403,833
  6. Step 6: Final answer
    x = 967,977.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.