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Finding the Third Proportional to 210,700 and 464,346

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Solution

The third proportional to 210,700 and 464,346 is: 1,023,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,700 : 464,346 = 464,346 : x
  2. Step 2: Convert to fraction form
    210,700/464,346 = 464,346/x
  3. Step 3: Cross multiply
    210,700x = 464,346 × 464,346
  4. Step 4: Simplify right side
    210,700x = 215,617,207,716
  5. Step 5: Solve for x
    x = 215,617,207,716/210,700
  6. Step 6: Final answer
    x = 1,023,337.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.