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Finding the Third Proportional to 390,098 and 583,567

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Solution

The third proportional to 390,098 and 583,567 is: 872,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,098 : 583,567 = 583,567 : x
  2. Step 2: Convert to fraction form
    390,098/583,567 = 583,567/x
  3. Step 3: Cross multiply
    390,098x = 583,567 × 583,567
  4. Step 4: Simplify right side
    390,098x = 340,550,443,489
  5. Step 5: Solve for x
    x = 340,550,443,489/390,098
  6. Step 6: Final answer
    x = 872,986.90

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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.