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Finding the Third Proportional to 357,312 and 756,096

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Solution

The third proportional to 357,312 and 756,096 is: 1,599,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,312 : 756,096 = 756,096 : x
  2. Step 2: Convert to fraction form
    357,312/756,096 = 756,096/x
  3. Step 3: Cross multiply
    357,312x = 756,096 × 756,096
  4. Step 4: Simplify right side
    357,312x = 571,681,161,216
  5. Step 5: Solve for x
    x = 571,681,161,216/357,312
  6. Step 6: Final answer
    x = 1,599,949.52

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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.