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Finding the Third Proportional to 713,590 and 978,514

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Solution

The third proportional to 713,590 and 978,514 is: 1,341,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,590 : 978,514 = 978,514 : x
  2. Step 2: Convert to fraction form
    713,590/978,514 = 978,514/x
  3. Step 3: Cross multiply
    713,590x = 978,514 × 978,514
  4. Step 4: Simplify right side
    713,590x = 957,489,648,196
  5. Step 5: Solve for x
    x = 957,489,648,196/713,590
  6. Step 6: Final answer
    x = 1,341,792.41

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