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Finding the Third Proportional to 373,454 and 574,023

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Solution

The third proportional to 373,454 and 574,023 is: 882,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,454 : 574,023 = 574,023 : x
  2. Step 2: Convert to fraction form
    373,454/574,023 = 574,023/x
  3. Step 3: Cross multiply
    373,454x = 574,023 × 574,023
  4. Step 4: Simplify right side
    373,454x = 329,502,404,529
  5. Step 5: Solve for x
    x = 329,502,404,529/373,454
  6. Step 6: Final answer
    x = 882,310.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.