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Finding the Third Proportional to 233,780.50 and 507,413

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Solution

The third proportional to 233,780.50 and 507,413 is: 1,101,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,780.50 : 507,413 = 507,413 : x
  2. Step 2: Convert to fraction form
    233,780.50/507,413 = 507,413/x
  3. Step 3: Cross multiply
    233,780.50x = 507,413 × 507,413
  4. Step 4: Simplify right side
    233,780.50x = 257,467,952,569
  5. Step 5: Solve for x
    x = 257,467,952,569/233,780.50
  6. Step 6: Final answer
    x = 1,101,323.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.