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Finding the Third Proportional to 713,475 and 978,352

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Solution

The third proportional to 713,475 and 978,352 is: 1,341,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,475 : 978,352 = 978,352 : x
  2. Step 2: Convert to fraction form
    713,475/978,352 = 978,352/x
  3. Step 3: Cross multiply
    713,475x = 978,352 × 978,352
  4. Step 4: Simplify right side
    713,475x = 957,172,635,904
  5. Step 5: Solve for x
    x = 957,172,635,904/713,475
  6. Step 6: Final answer
    x = 1,341,564.37

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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.