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Finding the Third Proportional to 511,502 and 744,763

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Solution

The third proportional to 511,502 and 744,763 is: 1,084,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,502 : 744,763 = 744,763 : x
  2. Step 2: Convert to fraction form
    511,502/744,763 = 744,763/x
  3. Step 3: Cross multiply
    511,502x = 744,763 × 744,763
  4. Step 4: Simplify right side
    511,502x = 554,671,926,169
  5. Step 5: Solve for x
    x = 554,671,926,169/511,502
  6. Step 6: Final answer
    x = 1,084,398.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.