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Finding the Third Proportional to 388,920 and 583,746

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Solution

The third proportional to 388,920 and 583,746 is: 876,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,920 : 583,746 = 583,746 : x
  2. Step 2: Convert to fraction form
    388,920/583,746 = 583,746/x
  3. Step 3: Cross multiply
    388,920x = 583,746 × 583,746
  4. Step 4: Simplify right side
    388,920x = 340,759,392,516
  5. Step 5: Solve for x
    x = 340,759,392,516/388,920
  6. Step 6: Final answer
    x = 876,168.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.