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Finding the Third Proportional to 402,252 and 596,420

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Solution

The third proportional to 402,252 and 596,420 is: 884,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,252 : 596,420 = 596,420 : x
  2. Step 2: Convert to fraction form
    402,252/596,420 = 596,420/x
  3. Step 3: Cross multiply
    402,252x = 596,420 × 596,420
  4. Step 4: Simplify right side
    402,252x = 355,716,816,400
  5. Step 5: Solve for x
    x = 355,716,816,400/402,252
  6. Step 6: Final answer
    x = 884,313.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.