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Finding the Third Proportional to 565,160 and 790,521

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Solution

The third proportional to 565,160 and 790,521 is: 1,105,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,160 : 790,521 = 790,521 : x
  2. Step 2: Convert to fraction form
    565,160/790,521 = 790,521/x
  3. Step 3: Cross multiply
    565,160x = 790,521 × 790,521
  4. Step 4: Simplify right side
    565,160x = 624,923,451,441
  5. Step 5: Solve for x
    x = 624,923,451,441/565,160
  6. Step 6: Final answer
    x = 1,105,746.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.