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Finding the Third Proportional to 556,314 and 794,781

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Solution

The third proportional to 556,314 and 794,781 is: 1,135,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,314 : 794,781 = 794,781 : x
  2. Step 2: Convert to fraction form
    556,314/794,781 = 794,781/x
  3. Step 3: Cross multiply
    556,314x = 794,781 × 794,781
  4. Step 4: Simplify right side
    556,314x = 631,676,837,961
  5. Step 5: Solve for x
    x = 631,676,837,961/556,314
  6. Step 6: Final answer
    x = 1,135,468.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.