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Finding the Third Proportional to 652,929.75 and 998,714.25

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Solution

The third proportional to 652,929.75 and 998,714.25 is: 1,527,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,929.75 : 998,714.25 = 998,714.25 : x
  2. Step 2: Convert to fraction form
    652,929.75/998,714.25 = 998,714.25/x
  3. Step 3: Cross multiply
    652,929.75x = 998,714.25 × 998,714.25
  4. Step 4: Simplify right side
    652,929.75x = 997,430,153,153.06
  5. Step 5: Solve for x
    x = 997,430,153,153.06/652,929.75
  6. Step 6: Final answer
    x = 1,527,622.46

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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.