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Finding the Third Proportional to 233,060 and 507,638

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Solution

The third proportional to 233,060 and 507,638 is: 1,105,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,060 : 507,638 = 507,638 : x
  2. Step 2: Convert to fraction form
    233,060/507,638 = 507,638/x
  3. Step 3: Cross multiply
    233,060x = 507,638 × 507,638
  4. Step 4: Simplify right side
    233,060x = 257,696,339,044
  5. Step 5: Solve for x
    x = 257,696,339,044/233,060
  6. Step 6: Final answer
    x = 1,105,708.14

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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.