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Finding the Third Proportional to 506,272.50 and 739,413

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Solution

The third proportional to 506,272.50 and 739,413 is: 1,079,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,272.50 : 739,413 = 739,413 : x
  2. Step 2: Convert to fraction form
    506,272.50/739,413 = 739,413/x
  3. Step 3: Cross multiply
    506,272.50x = 739,413 × 739,413
  4. Step 4: Simplify right side
    506,272.50x = 546,731,584,569
  5. Step 5: Solve for x
    x = 546,731,584,569/506,272.50
  6. Step 6: Final answer
    x = 1,079,915.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.