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Finding the Third Proportional to 556,317 and 794,785

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Solution

The third proportional to 556,317 and 794,785 is: 1,135,473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,317 : 794,785 = 794,785 : x
  2. Step 2: Convert to fraction form
    556,317/794,785 = 794,785/x
  3. Step 3: Cross multiply
    556,317x = 794,785 × 794,785
  4. Step 4: Simplify right side
    556,317x = 631,683,196,225
  5. Step 5: Solve for x
    x = 631,683,196,225/556,317
  6. Step 6: Final answer
    x = 1,135,473.47

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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.