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Finding the Third Proportional to 572,196 and 886,482

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Solution

The third proportional to 572,196 and 886,482 is: 1,373,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,196 : 886,482 = 886,482 : x
  2. Step 2: Convert to fraction form
    572,196/886,482 = 886,482/x
  3. Step 3: Cross multiply
    572,196x = 886,482 × 886,482
  4. Step 4: Simplify right side
    572,196x = 785,850,336,324
  5. Step 5: Solve for x
    x = 785,850,336,324/572,196
  6. Step 6: Final answer
    x = 1,373,393.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.