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Finding the Third Proportional to 357,316 and 756,104

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Solution

The third proportional to 357,316 and 756,104 is: 1,599,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,316 : 756,104 = 756,104 : x
  2. Step 2: Convert to fraction form
    357,316/756,104 = 756,104/x
  3. Step 3: Cross multiply
    357,316x = 756,104 × 756,104
  4. Step 4: Simplify right side
    357,316x = 571,693,258,816
  5. Step 5: Solve for x
    x = 571,693,258,816/357,316
  6. Step 6: Final answer
    x = 1,599,965.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.