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Finding the Third Proportional to 377,312 and 536,448

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Solution

The third proportional to 377,312 and 536,448 is: 762,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,312 : 536,448 = 536,448 : x
  2. Step 2: Convert to fraction form
    377,312/536,448 = 536,448/x
  3. Step 3: Cross multiply
    377,312x = 536,448 × 536,448
  4. Step 4: Simplify right side
    377,312x = 287,776,456,704
  5. Step 5: Solve for x
    x = 287,776,456,704/377,312
  6. Step 6: Final answer
    x = 762,701.58

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.