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Finding the Third Proportional to 576,232 and 830,023

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Solution

The third proportional to 576,232 and 830,023 is: 1,195,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,232 : 830,023 = 830,023 : x
  2. Step 2: Convert to fraction form
    576,232/830,023 = 830,023/x
  3. Step 3: Cross multiply
    576,232x = 830,023 × 830,023
  4. Step 4: Simplify right side
    576,232x = 688,938,180,529
  5. Step 5: Solve for x
    x = 688,938,180,529/576,232
  6. Step 6: Final answer
    x = 1,195,591.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.