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Finding the Third Proportional to 366,984 and 583,829

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Solution

The third proportional to 366,984 and 583,829 is: 928,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 583,829 = 583,829 : x
  2. Step 2: Convert to fraction form
    366,984/583,829 = 583,829/x
  3. Step 3: Cross multiply
    366,984x = 583,829 × 583,829
  4. Step 4: Simplify right side
    366,984x = 340,856,301,241
  5. Step 5: Solve for x
    x = 340,856,301,241/366,984
  6. Step 6: Final answer
    x = 928,804.26

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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.