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Finding the Third Proportional to 476,502 and 740,889

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Solution

The third proportional to 476,502 and 740,889 is: 1,151,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,502 : 740,889 = 740,889 : x
  2. Step 2: Convert to fraction form
    476,502/740,889 = 740,889/x
  3. Step 3: Cross multiply
    476,502x = 740,889 × 740,889
  4. Step 4: Simplify right side
    476,502x = 548,916,510,321
  5. Step 5: Solve for x
    x = 548,916,510,321/476,502
  6. Step 6: Final answer
    x = 1,151,971.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.