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Finding the Third Proportional to 403,332 and 565,266

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Solution

The third proportional to 403,332 and 565,266 is: 792,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,332 : 565,266 = 565,266 : x
  2. Step 2: Convert to fraction form
    403,332/565,266 = 565,266/x
  3. Step 3: Cross multiply
    403,332x = 565,266 × 565,266
  4. Step 4: Simplify right side
    403,332x = 319,525,650,756
  5. Step 5: Solve for x
    x = 319,525,650,756/403,332
  6. Step 6: Final answer
    x = 792,214.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.