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Finding the Third Proportional to 504,573.75 and 840,925.13

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Solution

The third proportional to 504,573.75 and 840,925.13 is: 1,401,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,573.75 : 840,925.13 = 840,925.13 : x
  2. Step 2: Convert to fraction form
    504,573.75/840,925.13 = 840,925.13/x
  3. Step 3: Cross multiply
    504,573.75x = 840,925.13 × 840,925.13
  4. Step 4: Simplify right side
    504,573.75x = 707,155,065,856.27
  5. Step 5: Solve for x
    x = 707,155,065,856.27/504,573.75
  6. Step 6: Final answer
    x = 1,401,490.00

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Why These Related Problems?

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