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Finding the Third Proportional to 433,053 and 680,278.50

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Solution

The third proportional to 433,053 and 680,278.50 is: 1,068,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,053 : 680,278.50 = 680,278.50 : x
  2. Step 2: Convert to fraction form
    433,053/680,278.50 = 680,278.50/x
  3. Step 3: Cross multiply
    433,053x = 680,278.50 × 680,278.50
  4. Step 4: Simplify right side
    433,053x = 462,778,837,562.25
  5. Step 5: Solve for x
    x = 462,778,837,562.25/433,053
  6. Step 6: Final answer
    x = 1,068,642.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.