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Finding the Third Proportional to 504,565.88 and 840,911.63

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Solution

The third proportional to 504,565.88 and 840,911.63 is: 1,401,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,565.88 : 840,911.63 = 840,911.63 : x
  2. Step 2: Convert to fraction form
    504,565.88/840,911.63 = 840,911.63/x
  3. Step 3: Cross multiply
    504,565.88x = 840,911.63 × 840,911.63
  4. Step 4: Simplify right side
    504,565.88x = 707,132,361,060.14
  5. Step 5: Solve for x
    x = 707,132,361,060.14/504,565.88
  6. Step 6: Final answer
    x = 1,401,466.88

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.