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Finding the Third Proportional to 587,334 and 933,513

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Solution

The third proportional to 587,334 and 933,513 is: 1,483,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,334 : 933,513 = 933,513 : x
  2. Step 2: Convert to fraction form
    587,334/933,513 = 933,513/x
  3. Step 3: Cross multiply
    587,334x = 933,513 × 933,513
  4. Step 4: Simplify right side
    587,334x = 871,446,521,169
  5. Step 5: Solve for x
    x = 871,446,521,169/587,334
  6. Step 6: Final answer
    x = 1,483,732.46

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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.