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Finding the Third Proportional to 270,196 and 592,280

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Solution

The third proportional to 270,196 and 592,280 is: 1,298,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,196 : 592,280 = 592,280 : x
  2. Step 2: Convert to fraction form
    270,196/592,280 = 592,280/x
  3. Step 3: Cross multiply
    270,196x = 592,280 × 592,280
  4. Step 4: Simplify right side
    270,196x = 350,795,598,400
  5. Step 5: Solve for x
    x = 350,795,598,400/270,196
  6. Step 6: Final answer
    x = 1,298,300.49

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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.