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Finding the Third Proportional to 210,537 and 467,730

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Solution

The third proportional to 210,537 and 467,730 is: 1,039,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,537 : 467,730 = 467,730 : x
  2. Step 2: Convert to fraction form
    210,537/467,730 = 467,730/x
  3. Step 3: Cross multiply
    210,537x = 467,730 × 467,730
  4. Step 4: Simplify right side
    210,537x = 218,771,352,900
  5. Step 5: Solve for x
    x = 218,771,352,900/210,537
  6. Step 6: Final answer
    x = 1,039,111.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.