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Finding the Third Proportional to 709,352 and 957,036

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Solution

The third proportional to 709,352 and 957,036 is: 1,291,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,352 : 957,036 = 957,036 : x
  2. Step 2: Convert to fraction form
    709,352/957,036 = 957,036/x
  3. Step 3: Cross multiply
    709,352x = 957,036 × 957,036
  4. Step 4: Simplify right side
    709,352x = 915,917,905,296
  5. Step 5: Solve for x
    x = 915,917,905,296/709,352
  6. Step 6: Final answer
    x = 1,291,203.67

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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.