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Finding the Third Proportional to 175,800,780 and 258,620,526

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Solution

The third proportional to 175,800,780 and 258,620,526 is: 380,456,653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,800,780 : 258,620,526 = 258,620,526 : x
  2. Step 2: Convert to fraction form
    175,800,780/258,620,526 = 258,620,526/x
  3. Step 3: Cross multiply
    175,800,780x = 258,620,526 × 258,620,526
  4. Step 4: Simplify right side
    175,800,780x = 66,884,576,468,516,672
  5. Step 5: Solve for x
    x = 66,884,576,468,516,672/175,800,780
  6. Step 6: Final answer
    x = 380,456,653.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.