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Finding the Third Proportional to 535,257 and 729,052.50

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Solution

The third proportional to 535,257 and 729,052.50 is: 993,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,257 : 729,052.50 = 729,052.50 : x
  2. Step 2: Convert to fraction form
    535,257/729,052.50 = 729,052.50/x
  3. Step 3: Cross multiply
    535,257x = 729,052.50 × 729,052.50
  4. Step 4: Simplify right side
    535,257x = 531,517,547,756.25
  5. Step 5: Solve for x
    x = 531,517,547,756.25/535,257
  6. Step 6: Final answer
    x = 993,013.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.