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Finding the Third Proportional to 215,572 and 473,522

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Solution

The third proportional to 215,572 and 473,522 is: 1,040,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,572 : 473,522 = 473,522 : x
  2. Step 2: Convert to fraction form
    215,572/473,522 = 473,522/x
  3. Step 3: Cross multiply
    215,572x = 473,522 × 473,522
  4. Step 4: Simplify right side
    215,572x = 224,223,084,484
  5. Step 5: Solve for x
    x = 224,223,084,484/215,572
  6. Step 6: Final answer
    x = 1,040,130.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.