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Finding the Third Proportional to 652,024 and 997,412

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Solution

The third proportional to 652,024 and 997,412 is: 1,525,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,024 : 997,412 = 997,412 : x
  2. Step 2: Convert to fraction form
    652,024/997,412 = 997,412/x
  3. Step 3: Cross multiply
    652,024x = 997,412 × 997,412
  4. Step 4: Simplify right side
    652,024x = 994,830,697,744
  5. Step 5: Solve for x
    x = 994,830,697,744/652,024
  6. Step 6: Final answer
    x = 1,525,757.79

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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.