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Finding the Third Proportional to 423,288 and 574,236

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Solution

The third proportional to 423,288 and 574,236 is: 779,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,288 : 574,236 = 574,236 : x
  2. Step 2: Convert to fraction form
    423,288/574,236 = 574,236/x
  3. Step 3: Cross multiply
    423,288x = 574,236 × 574,236
  4. Step 4: Simplify right side
    423,288x = 329,746,983,696
  5. Step 5: Solve for x
    x = 329,746,983,696/423,288
  6. Step 6: Final answer
    x = 779,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.