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Finding the Third Proportional to 572,072 and 776,944.50

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Solution

The third proportional to 572,072 and 776,944.50 is: 1,055,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,072 : 776,944.50 = 776,944.50 : x
  2. Step 2: Convert to fraction form
    572,072/776,944.50 = 776,944.50/x
  3. Step 3: Cross multiply
    572,072x = 776,944.50 × 776,944.50
  4. Step 4: Simplify right side
    572,072x = 603,642,756,080.25
  5. Step 5: Solve for x
    x = 603,642,756,080.25/572,072
  6. Step 6: Final answer
    x = 1,055,186.68

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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.