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Finding the Third Proportional to 713,384 and 978,220

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Solution

The third proportional to 713,384 and 978,220 is: 1,341,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,384 : 978,220 = 978,220 : x
  2. Step 2: Convert to fraction form
    713,384/978,220 = 978,220/x
  3. Step 3: Cross multiply
    713,384x = 978,220 × 978,220
  4. Step 4: Simplify right side
    713,384x = 956,914,368,400
  5. Step 5: Solve for x
    x = 956,914,368,400/713,384
  6. Step 6: Final answer
    x = 1,341,373.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.