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Finding the Third Proportional to 475,799 and 737,602.50

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Solution

The third proportional to 475,799 and 737,602.50 is: 1,143,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,799 : 737,602.50 = 737,602.50 : x
  2. Step 2: Convert to fraction form
    475,799/737,602.50 = 737,602.50/x
  3. Step 3: Cross multiply
    475,799x = 737,602.50 × 737,602.50
  4. Step 4: Simplify right side
    475,799x = 544,057,448,006.25
  5. Step 5: Solve for x
    x = 544,057,448,006.25/475,799
  6. Step 6: Final answer
    x = 1,143,460.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.