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Finding the Third Proportional to 388,914 and 583,737

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Solution

The third proportional to 388,914 and 583,737 is: 876,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,914 : 583,737 = 583,737 : x
  2. Step 2: Convert to fraction form
    388,914/583,737 = 583,737/x
  3. Step 3: Cross multiply
    388,914x = 583,737 × 583,737
  4. Step 4: Simplify right side
    388,914x = 340,748,885,169
  5. Step 5: Solve for x
    x = 340,748,885,169/388,914
  6. Step 6: Final answer
    x = 876,154.84

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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.