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Finding the Third Proportional to 403,564.50 and 606,304.13

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Solution

The third proportional to 403,564.50 and 606,304.13 is: 910,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,564.50 : 606,304.13 = 606,304.13 : x
  2. Step 2: Convert to fraction form
    403,564.50/606,304.13 = 606,304.13/x
  3. Step 3: Cross multiply
    403,564.50x = 606,304.13 × 606,304.13
  4. Step 4: Simplify right side
    403,564.50x = 367,604,691,992.02
  5. Step 5: Solve for x
    x = 367,604,691,992.02/403,564.50
  6. Step 6: Final answer
    x = 910,894.52

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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.