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Finding the Third Proportional to 475,443 and 647,554.50

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Solution

The third proportional to 475,443 and 647,554.50 is: 881,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,443 : 647,554.50 = 647,554.50 : x
  2. Step 2: Convert to fraction form
    475,443/647,554.50 = 647,554.50/x
  3. Step 3: Cross multiply
    475,443x = 647,554.50 × 647,554.50
  4. Step 4: Simplify right side
    475,443x = 419,326,830,470.25
  5. Step 5: Solve for x
    x = 419,326,830,470.25/475,443
  6. Step 6: Final answer
    x = 881,970.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.