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Finding the Third Proportional to 587,341 and 933,523.50

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Solution

The third proportional to 587,341 and 933,523.50 is: 1,483,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,341 : 933,523.50 = 933,523.50 : x
  2. Step 2: Convert to fraction form
    587,341/933,523.50 = 933,523.50/x
  3. Step 3: Cross multiply
    587,341x = 933,523.50 × 933,523.50
  4. Step 4: Simplify right side
    587,341x = 871,466,125,052.25
  5. Step 5: Solve for x
    x = 871,466,125,052.25/587,341
  6. Step 6: Final answer
    x = 1,483,748.15

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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.