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Finding the Third Proportional to 652,288.50 and 997,886.25

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Solution

The third proportional to 652,288.50 and 997,886.25 is: 1,526,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,288.50 : 997,886.25 = 997,886.25 : x
  2. Step 2: Convert to fraction form
    652,288.50/997,886.25 = 997,886.25/x
  3. Step 3: Cross multiply
    652,288.50x = 997,886.25 × 997,886.25
  4. Step 4: Simplify right side
    652,288.50x = 995,776,967,939.06
  5. Step 5: Solve for x
    x = 995,776,967,939.06/652,288.50
  6. Step 6: Final answer
    x = 1,526,589.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.