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Finding the Third Proportional to 525,038 and 792,368

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Solution

The third proportional to 525,038 and 792,368 is: 1,195,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,038 : 792,368 = 792,368 : x
  2. Step 2: Convert to fraction form
    525,038/792,368 = 792,368/x
  3. Step 3: Cross multiply
    525,038x = 792,368 × 792,368
  4. Step 4: Simplify right side
    525,038x = 627,847,047,424
  5. Step 5: Solve for x
    x = 627,847,047,424/525,038
  6. Step 6: Final answer
    x = 1,195,812.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.