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Finding the Third Proportional to 421,560 and 632,352

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Solution

The third proportional to 421,560 and 632,352 is: 948,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,560 : 632,352 = 632,352 : x
  2. Step 2: Convert to fraction form
    421,560/632,352 = 632,352/x
  3. Step 3: Cross multiply
    421,560x = 632,352 × 632,352
  4. Step 4: Simplify right side
    421,560x = 399,869,051,904
  5. Step 5: Solve for x
    x = 399,869,051,904/421,560
  6. Step 6: Final answer
    x = 948,546.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.