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Finding the Third Proportional to 377,624 and 607,746

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Solution

The third proportional to 377,624 and 607,746 is: 978,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,624 : 607,746 = 607,746 : x
  2. Step 2: Convert to fraction form
    377,624/607,746 = 607,746/x
  3. Step 3: Cross multiply
    377,624x = 607,746 × 607,746
  4. Step 4: Simplify right side
    377,624x = 369,355,200,516
  5. Step 5: Solve for x
    x = 369,355,200,516/377,624
  6. Step 6: Final answer
    x = 978,103.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.