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Finding the Third Proportional to 464,011.03 and 989,255.53

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Solution

The third proportional to 464,011.03 and 989,255.53 is: 2,109,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,011.03 : 989,255.53 = 989,255.53 : x
  2. Step 2: Convert to fraction form
    464,011.03/989,255.53 = 989,255.53/x
  3. Step 3: Cross multiply
    464,011.03x = 989,255.53 × 989,255.53
  4. Step 4: Simplify right side
    464,011.03x = 978,626,506,108.72
  5. Step 5: Solve for x
    x = 978,626,506,108.72/464,011.03
  6. Step 6: Final answer
    x = 2,109,058.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.