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Finding the Third Proportional to 591,564 and 887,058

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Solution

The third proportional to 591,564 and 887,058 is: 1,330,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,564 : 887,058 = 887,058 : x
  2. Step 2: Convert to fraction form
    591,564/887,058 = 887,058/x
  3. Step 3: Cross multiply
    591,564x = 887,058 × 887,058
  4. Step 4: Simplify right side
    591,564x = 786,871,895,364
  5. Step 5: Solve for x
    x = 786,871,895,364/591,564
  6. Step 6: Final answer
    x = 1,330,155.14

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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.