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Finding the Third Proportional to 506,256.33 and 739,393.95

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Solution

The third proportional to 506,256.33 and 739,393.95 is: 1,079,894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,256.33 : 739,393.95 = 739,393.95 : x
  2. Step 2: Convert to fraction form
    506,256.33/739,393.95 = 739,393.95/x
  3. Step 3: Cross multiply
    506,256.33x = 739,393.95 × 739,393.95
  4. Step 4: Simplify right side
    506,256.33x = 546,703,406,364.78
  5. Step 5: Solve for x
    x = 546,703,406,364.78/506,256.33
  6. Step 6: Final answer
    x = 1,079,894.46

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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.