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Finding the Third Proportional to 565,416 and 792,426

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Solution

The third proportional to 565,416 and 792,426 is: 1,110,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,416 : 792,426 = 792,426 : x
  2. Step 2: Convert to fraction form
    565,416/792,426 = 792,426/x
  3. Step 3: Cross multiply
    565,416x = 792,426 × 792,426
  4. Step 4: Simplify right side
    565,416x = 627,938,965,476
  5. Step 5: Solve for x
    x = 627,938,965,476/565,416
  6. Step 6: Final answer
    x = 1,110,578.70

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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.