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Finding the Third Proportional to 231,650 and 507,587

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Solution

The third proportional to 231,650 and 507,587 is: 1,112,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,650 : 507,587 = 507,587 : x
  2. Step 2: Convert to fraction form
    231,650/507,587 = 507,587/x
  3. Step 3: Cross multiply
    231,650x = 507,587 × 507,587
  4. Step 4: Simplify right side
    231,650x = 257,644,562,569
  5. Step 5: Solve for x
    x = 257,644,562,569/231,650
  6. Step 6: Final answer
    x = 1,112,214.82

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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.