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Finding the Third Proportional to 713,394 and 978,235

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Solution

The third proportional to 713,394 and 978,235 is: 1,341,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,394 : 978,235 = 978,235 : x
  2. Step 2: Convert to fraction form
    713,394/978,235 = 978,235/x
  3. Step 3: Cross multiply
    713,394x = 978,235 × 978,235
  4. Step 4: Simplify right side
    713,394x = 956,943,715,225
  5. Step 5: Solve for x
    x = 956,943,715,225/713,394
  6. Step 6: Final answer
    x = 1,341,395.80

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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.