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Finding the Third Proportional to 233,864 and 508,730

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Solution

The third proportional to 233,864 and 508,730 is: 1,106,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,864 : 508,730 = 508,730 : x
  2. Step 2: Convert to fraction form
    233,864/508,730 = 508,730/x
  3. Step 3: Cross multiply
    233,864x = 508,730 × 508,730
  4. Step 4: Simplify right side
    233,864x = 258,806,212,900
  5. Step 5: Solve for x
    x = 258,806,212,900/233,864
  6. Step 6: Final answer
    x = 1,106,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.