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Finding the Third Proportional to 389,064 and 583,599

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Solution

The third proportional to 389,064 and 583,599 is: 875,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,064 : 583,599 = 583,599 : x
  2. Step 2: Convert to fraction form
    389,064/583,599 = 583,599/x
  3. Step 3: Cross multiply
    389,064x = 583,599 × 583,599
  4. Step 4: Simplify right side
    389,064x = 340,587,792,801
  5. Step 5: Solve for x
    x = 340,587,792,801/389,064
  6. Step 6: Final answer
    x = 875,403.00

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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.