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Finding the Third Proportional to 652,003 and 997,377

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Solution

The third proportional to 652,003 and 997,377 is: 1,525,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,003 : 997,377 = 997,377 : x
  2. Step 2: Convert to fraction form
    652,003/997,377 = 997,377/x
  3. Step 3: Cross multiply
    652,003x = 997,377 × 997,377
  4. Step 4: Simplify right side
    652,003x = 994,760,880,129
  5. Step 5: Solve for x
    x = 994,760,880,129/652,003
  6. Step 6: Final answer
    x = 1,525,699.85

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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.