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Finding the Third Proportional to 377,594 and 583,318

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Solution

The third proportional to 377,594 and 583,318 is: 901,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,594 : 583,318 = 583,318 : x
  2. Step 2: Convert to fraction form
    377,594/583,318 = 583,318/x
  3. Step 3: Cross multiply
    377,594x = 583,318 × 583,318
  4. Step 4: Simplify right side
    377,594x = 340,259,889,124
  5. Step 5: Solve for x
    x = 340,259,889,124/377,594
  6. Step 6: Final answer
    x = 901,126.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.