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Finding the Third Proportional to 345,508.88 and 533,023.88

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Solution

The third proportional to 345,508.88 and 533,023.88 is: 822,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,508.88 : 533,023.88 = 533,023.88 : x
  2. Step 2: Convert to fraction form
    345,508.88/533,023.88 = 533,023.88/x
  3. Step 3: Cross multiply
    345,508.88x = 533,023.88 × 533,023.88
  4. Step 4: Simplify right side
    345,508.88x = 284,114,451,320.02
  5. Step 5: Solve for x
    x = 284,114,451,320.02/345,508.88
  6. Step 6: Final answer
    x = 822,307.25

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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.