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Finding the Third Proportional to 251,496 and 549,632

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Solution

The third proportional to 251,496 and 549,632 is: 1,201,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,496 : 549,632 = 549,632 : x
  2. Step 2: Convert to fraction form
    251,496/549,632 = 549,632/x
  3. Step 3: Cross multiply
    251,496x = 549,632 × 549,632
  4. Step 4: Simplify right side
    251,496x = 302,095,335,424
  5. Step 5: Solve for x
    x = 302,095,335,424/251,496
  6. Step 6: Final answer
    x = 1,201,193.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.