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Finding the Third Proportional to 297,989 and 652,664

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Solution

The third proportional to 297,989 and 652,664 is: 1,429,483.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,989 : 652,664 = 652,664 : x
  2. Step 2: Convert to fraction form
    297,989/652,664 = 652,664/x
  3. Step 3: Cross multiply
    297,989x = 652,664 × 652,664
  4. Step 4: Simplify right side
    297,989x = 425,970,296,896
  5. Step 5: Solve for x
    x = 425,970,296,896/297,989
  6. Step 6: Final answer
    x = 1,429,483.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.