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Finding the Third Proportional to 709,356 and 957,042

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Solution

The third proportional to 709,356 and 957,042 is: 1,291,212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,356 : 957,042 = 957,042 : x
  2. Step 2: Convert to fraction form
    709,356/957,042 = 957,042/x
  3. Step 3: Cross multiply
    709,356x = 957,042 × 957,042
  4. Step 4: Simplify right side
    709,356x = 915,929,389,764
  5. Step 5: Solve for x
    x = 915,929,389,764/709,356
  6. Step 6: Final answer
    x = 1,291,212.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.