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Finding the Third Proportional to 358,452 and 779,760

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Solution

The third proportional to 358,452 and 779,760 is: 1,696,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,452 : 779,760 = 779,760 : x
  2. Step 2: Convert to fraction form
    358,452/779,760 = 779,760/x
  3. Step 3: Cross multiply
    358,452x = 779,760 × 779,760
  4. Step 4: Simplify right side
    358,452x = 608,025,657,600
  5. Step 5: Solve for x
    x = 608,025,657,600/358,452
  6. Step 6: Final answer
    x = 1,696,254.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.