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Finding the Third Proportional to 366,970 and 583,808

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Solution

The third proportional to 366,970 and 583,808 is: 928,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 583,808 = 583,808 : x
  2. Step 2: Convert to fraction form
    366,970/583,808 = 583,808/x
  3. Step 3: Cross multiply
    366,970x = 583,808 × 583,808
  4. Step 4: Simplify right side
    366,970x = 340,831,780,864
  5. Step 5: Solve for x
    x = 340,831,780,864/366,970
  6. Step 6: Final answer
    x = 928,772.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.