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Finding the Third Proportional to 262,708,845.75 and 369,532,780.50

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Solution

The third proportional to 262,708,845.75 and 369,532,780.50 is: 519,793,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,708,845.75 : 369,532,780.50 = 369,532,780.50 : x
  2. Step 2: Convert to fraction form
    262,708,845.75/369,532,780.50 = 369,532,780.50/x
  3. Step 3: Cross multiply
    262,708,845.75x = 369,532,780.50 × 369,532,780.50
  4. Step 4: Simplify right side
    262,708,845.75x = 136,554,475,864,061,184
  5. Step 5: Solve for x
    x = 136,554,475,864,061,184/262,708,845.75
  6. Step 6: Final answer
    x = 519,793,977.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.