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Finding the Third Proportional to 652,288 and 997,886

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Solution

The third proportional to 652,288 and 997,886 is: 1,526,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,288 : 997,886 = 997,886 : x
  2. Step 2: Convert to fraction form
    652,288/997,886 = 997,886/x
  3. Step 3: Cross multiply
    652,288x = 997,886 × 997,886
  4. Step 4: Simplify right side
    652,288x = 995,776,468,996
  5. Step 5: Solve for x
    x = 995,776,468,996/652,288
  6. Step 6: Final answer
    x = 1,526,590.20

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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.